Triangle congruence maze

Jul 08, 2024
For each pair of triangles select the correct description of congruency. 1. A. SSS - three sides. B. SAS - two sides and the included angle. C. ASA or AAS - two angles and a corresponding side. D. RHS - right angle, hypotenuse and another side. E. Not (necessarily) congruent. 2..

About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...Lessons 4.1 - 4.4 Learn with flashcards, games, and more — for free.Definition: The perpendicular bisector of a segment is the line. that bisects and is perpendicular to the segment. Equidistance Theorem -. If two points are each equidistant from the endpoints of a segment, then the two points determine the perpendicular bisector of that segment. 2.A closed polygon made of three line segments forming three angles is known as a Triangle. Two triangles are said to be congruent if their sides have the same length and angles have same measure. Thus, two triangles can be superimposed side to side and angle to angle. In the above figure, Δ ABC and Δ PQR are congruent triangles.Maze Levels 1 and 2 (4 slides total since each is provided in B&W and Color) Answer Key (2 slides) Level 1. Students will solve 29 questions (and avoid 5 distractors) Given a triangle congruence statement, students will find a corresponding part via CPCTC; Level 2. Students will solve 12 questions (and avoid 3 distractors) with 3 parts eachTriangle Congruence Maze From the start, box color the boxes and the arrows leading to the finish box. By identifying the postulate theorem that satisfies the congruence of the pair of triangles inside each box. START Jill Sas Jel FINISH. 00:27. To show the three triangle congruences, follow these directions: 1. Mark the triangle in the box.Answer. We recall that two triangles are congruent if their corresponding sides are congruent and corresponding angle measures are congruent. However, there are a number of congruence criteria that we can use to prove that two triangles are congruent. In the figure, we have two triangles, 𝐴 𝐵 𝐶 and 𝐴 ′ 𝐵 ′ 𝐶 ′.In this NO PREP congruent triangles activity, students will match the image with the appropriate postulate. They will continue through the maze until they reach the end.⇾You must have a free Google account to access the digital drag and drop activity.⇾When you purchase, you will receive a PDF contai...XM is perpendicular to AD. Prove that triangles AXB and DXC are congruent. Congruent triangles have three equal angles and three equal sides. You do not need to show that all of them are equal to prove congruence, you can look for one of the five standard tests of congruence. These are SAS, SSS, ASA, AAS, RHS.The idea behind a maze answer is to guide us through a series of steps that lead to a definitive solution - in this case, identifying when two triangles are congruent. Just like a maze, where every twist and turn determines our path, triangle congruence relies on specific criteria to establish congruence. These criteria include side-side-side ...Applying Triangle Congruence postulates? Do you want an activity to engage your students in Geometry? This maze is just what you need to help students practice their skills on triangle congruence postulates. Do you want a no prep activity? Just print and hand out the maze to students. The best part? Students will have fun while learning!PRACTICE: pg. 234 #3-11, 19, 22-25, 31 (15 problems) Triangle Congruence Worksheet #1 Friday, 11/9/12 4-5: ASA, AAS, and HL ASA, AAS, and HLI can prove triangles are congruent using I can mark pieces of a triangle congruent given how they are to be proved congruent. PRACTICE: Triangle Congruence Worksheet #2 Monday, 11/12/12Browse congruence triangles matching activity resources on Teachers Pay Teachers, a marketplace trusted by millions of teachers for original educational resources.Lesson 4-4Using Congruent Triangles: CPCTC223. 4. Developing Proof Two cars of the same model have hood braces that are identical, connect to the body of the car in the same place, and fit into the same slot in the hood. Given: > , > , > Complete the proof that the hood braces hold the hoods open at the same angle. Prove: &ARC> &EHV.Criteria for Triangle Congruence. In geometry, triangles play a pivotal role. Understanding when two triangles are congruent (meaning they have the exact same size and shape) is crucial. The key to this understanding lies in the congruence theorems. These theorems provide criteria that, when met, guarantee that two triangles are congruent.What additional information is needed to prove that the triangles are congruent using the ASA congruence theorem? d. <L ~= <P. Which rigid transformation would map MZK to QZK. c. a reflection across the line containing ZK. Given: <TSR and <QRS are right angles; <T ~= <Q. Prove: TSR ~= QRS. Step 4: TSR ~= QRS because. of the AAS congruence ...Notes and practice to introduce students to triangle congruence and proving triangles congruent. Happy Solving from the miss jude math! TPT shop :) Ships from and sold by . teacherspayteachers.com. ... Geometry Proving Triangles Congruent Maze. TPT. Australia Math. Solving Algebraic Expressions. Area And Perimeter Worksheets. Area Worksheets ...Corresponding angles of congruent triangles are equal. Application: Triangular Bracing. The SSS Theorem is the basis of an important principle of construction engineering called triangular bracing. Imagine the line segments in Figure \(\PageIndex{3}\) to be beans of wood or steel joined at the endpoints by nails or screws. If pressure is ...5. D. The triangles are congruent by SSS or HL. Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime B C is then rotated about point A to form A prime B prime C prime. Triangle A prime B prime C prime is then shifted to the right to form A double-prime B double-prime C double-prime.The maze answer key is a useful tool for students to verify their understanding of triangle congruence and practice applying the different congruence criteria. By checking their answers against the answer key, students can identify any mistakes or misconceptions they may have and work towards improving their understanding of congruent triangles.Nov 10, 2019 - NEW: GOOGLE SLIDES MAZES and TASK CARDS FOR PAPERLESS CLASSROOMS or PDF's 6 Mazes: 4 on Triangle Congruence shortcuts, 2 on Congruence Statements, 1 Design your own maze, 1 Coloring Activity, TEACHERS TOOL KIT - includes extra pictures, and 1 - 10, 1 - 20, 1 - 6 proof background to copy and pa...System Check. Students will prove that the triangles in each pair are congruent. Three questions are provided, and space is included for students to copy the correct answer when given. A huge collection of worksheets and lessons that helps students learn to identify triangles that are congruent. We also look at different types of congruencies.The three sides of a triangle determine its size and the three angles of a triangle determine its shape. Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal. They are of the same shape and size. There are many conditions of congruence in triangles. Let us discuss them in detail. 1.5.6 Proving Triangle Congruence by ASA and AAS 265 Work with a partner. a. Use technology to construct a circle with center A. b. Draw an angle that has a measure less than 180° with vertex A. Label one of the points where a side of the angle intersects the circle as B. Label the other point of intersection as D. c. Does the length of AB —5. D. The triangles are congruent by SSS or HL. Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime B C is then rotated about point A to form A prime B prime C prime. Triangle A prime B prime C prime is then shifted to the right to form A double-prime B double-prime C double-prime.Triangle Congruence Maze From the start, box color the boxes and the arrows leading to the finish box. By identifying the postulate theorem that satisfies the congruence of the pair of triangles inside each box. START Jill Sas Jel FINISH. 00:27. To show the three triangle congruences, follow these directions: 1. Mark the triangle in the box.View TriangleCongruenceMaze-1.pdf from MATH 4 at Carroll College. Triangle Congruence Review Maze Find your way from start to theFeb 24, 2012 · Two figures are congruent if they have exactly the same size and shape. If two triangles are congruent, they will have exactly the same three sides and exactly the same three angles. In other words, two triangles are congruent if you can turn, flip, and/or slide one so it fits exactly on the other. ABC and DEF are congruent because.This worksheet is a no prep maze activity focused on identifying triangle congruence and naming their postulate (SSS, SAS, ASA, and AAS) not included HL. Students will begin at the 'start' box and work their way through the maze by naming the triangle congruence represented in each question.CORBETTMATHS 2019. Congruent Triangles. Video 67 on www.corbettmaths.com. Question 3: In triangle ABC, AB = 7cm, ∠BAC = 50° and ∠ABC = 35° In triangle DEF, EF = 7cm, ∠DEF = 35° and ∠DFE = 50° Are triangles ABC and DEF congruent? If they are, state the condition. Question 4: In triangle GHI, GH = 7cm, HI = 4cm and GI = 5cm.Congruent Triangles - Hypotenuse and leg of a right triangle. (HL) Definition: Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. There are five ways to test that two triangles are congruent. This is one of them (HL). For a list see Congruent Triangles.Apr 29, 2024 · Triangle Congruence Maze. A triangle congruence maze is a puzzle that challenges individuals to navigate through a series of triangles and identify which ones are congruent. Solving these mazes requires a thorough understanding of triangle congruence properties. Triangle Congruence Review Answer Key, Triangle congruence review maze answer key ...Prove triangle congruence Get 3 of 4 questions to level up! Quiz 1. Level up on the above skills and collect up to 320 Mastery points Start quiz. Theorems concerning triangle properties. Learn. Properties of congruence and equality (Opens a modal) Angles in a triangle sum to 180° proofBefore we delve into the crux of the matter, it’s important to first establish what congruent triangles are. Put simply, congruent triangles are triangles that have the same size and shape. It means that the corresponding sides are equal. In the same vein, the corresponding angles have equal value too. Triangle Congruence Worksheet Answers …What is Triangle Congruence? Algebra rules let us learn that we make triangle by three sides and three angles. Also, geometry tell us that the sum of all three angles of triangles is 180 degree. Triangles has various types and the congruent triangles are one of them. To make this triangle, we need the same size and shape.This is a coloring activity for 16 problems. Problems 1 - 5 are on naming the congruence shortcuts. Problems 6 - 16 are on writing the congruence statements. Students will match the correct answer to the colors written below. 8 colors where used to make the design. Posted: 4/25/15 so 50% off through 4/28/15.A three-dimensional shape that is made up of four triangles is called a tetrahedron. If it is a regular tetrahedron, then it contains four equilateral triangles as its faces. A reg...Adjust the angles in the triangle by dragging the endpoints along the circles. Triangles by Side Lengths 1. Create a scalene triangle. A scalene triangle has no congruent sides. 2. Create an isosceles triangle. An isosceles triangle has 2 congruent sides. 3. Create an equilateral triangle.TRIANGLES: CONGRUENT TRIANGLES 6 MAZES, 20 TASK CARDS BOTH GOOGLE SLIDES & PDFs. By Marie's Math Resources and Coloring Activities ... GOOGLE SLIDES VERSIONS and PDF'sMAZE 1: uses 3 trig ratios - sin, cos, tan (easy) MAZE 2: uses pythagorean theorem to find sides first MAZE 3: find side measures -MAZE 4: find angle measuresMAZE 5: find angles ...The maze answer key is a useful tool for students to verify their understanding of triangle congruence and practice applying the different congruence criteria. By checking their answers against the answer key, students can identify any mistakes or misconceptions they may have and work towards improving their understanding of congruent triangles.How do I find the best mortgage rates for 2021? Beginners and experts alike will benefit from this guide to selecting the best mortgage. Whether you dream of a bungalow with a whit...NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles are given here. Students can either practise online or download these NCERT Solutions and practise different types of questions related to this chapter and thereby achieve maximum marks in the annual examinations. The relation of two objects being congruent is called congruence.Access Selina Solutions Concise Maths Class 7 Chapter 19: Congruency: Congruent Triangles. Exercise 19 page: 213. 1. State, whether the pairs of triangles given in the following figures are congruent or not: (vii) ∆ABC in which AB = 2 cm, BC = 3.5 cm and ∠C = 800 and, ∆DEF in which DE = 2cm, DF = 3.5 cm and ∠D = 800. Solution:Study with Quizlet and memorize flashcards containing terms like Which shows two triangles that are congruent by AAS? 2 right triangles are connected at one side. The triangles have 1 congruent side and 2 congruent angles. The second triangle is a reflection of the first triangle. 2 triangles are connected at one side. The triangles have 2 congruent sides and 1 congruent angle. The first ...Students begin at the box that says start and work their way through the maze. Answer key included. Related Products. ⭐ Geometry Congruent Triangles Proofs with QR Codes (Task Cards) ... Triangle Congruence Worksheet from triangle congruence worksheet answer key , image source: homeschooldressage.com. mahle Ralarala. Mathematics Geometry.A unique triangle is formed by two angles and the included side. Therefore, if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. THEOREM AAS congruence. A unique triangle is formed by two angles and a non-included side.This bundle includes all of the escape rooms listed below. Important: All these products sell for $35; as a bundle they are 30% off, for $24! Each escape room has the following contents: ♦ Teacher Instructions and FAQ ♦ 3 Levels to decode: Maze Decoder, Tarsia Puzzle, and Message Decoder ♦ Student Recording Sheet and Teacher Answer Key ...Congruent Triangles. Subject: Mathematics. Age range: 14-16. Resource type: Other. File previews. pptx, 178.5 KB. A short PowerPoint presentation showing how to prove that two triangles are congruent. Creative Commons "NoDerivatives".Two triangles are congruent if they have the same three sides and exactly the same three angles. We have the methods of SSS (side-side-side), SAS (side-angle-side) and ASA (angle-side-angle). Note that for congruent triangles, the sides refer to having the exact same length. The LaTex symbol for congruence is \cong ≅ written as \cong.Applying Triangle Congruence postulates? Do you want an activity to engage your students in Geometry? This maze is just what you need to help students practice their skills on triangle congruence postulates. Do you want a no prep activity? Just print and hand out the maze to students. The best part? Students will have fun while learning!Congruent Triangles - Hypotenuse and leg of a right triangle. (HL) Definition: Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. There are five ways to test that two triangles are congruent. This is one of them (HL). For a list see Congruent Triangles.In geometry, congruent means identical in shape and size. Congruence can be applied to line segments, angles, and figures. Any two line segments are said to be congruent if they are equal in length. Two angles are said to be congruent if they are of equal measure. Two triangles are said to be congruent if their corresponding sides and angles ...Product details. The Triangle Congruency Mazes (Levels 1 & 2) activity is the perfect way to practice CPCTC! It can be used when initially teaching what it means to be congruent (distance and angles are preserved) and when emphasizing that "Corresponding Parts of Congruent Triangles are Congruent" after they have learned the triangle congruence ...In geometry, congruence is used to define congruent figures, which are shapes that are identical in size and shape. In algebra, congruence is used to define congruent numbers, which are integers that have the same remainder when divided by a given modulus. In trigonometry, congruence is used to define congruent triangles, which have the same ...5.1 Triangle Congruence Postulates . Congruent Figures: Figures that are the same shape and size. All corresponding angles are congruent . All corresponding sides are congruent …This bundle includes all of the escape rooms listed below. Important: All these products sell for $35; as a bundle they are 30% off, for $24! Each escape room has the following contents: ♦ Teacher Instructions and FAQ ♦ 3 Levels to decode: Maze Decoder, Tarsia Puzzle, and Message Decoder ♦ Student Recording Sheet and Teacher Answer Key ...the reasons in orderthrough the maze and you will get through without coming to a bad end. ... CONGRUENT TRIANGLES 6 27 3 24 24 30 5 13 27 65 32 30 6 16 5 6 30 11 + 3 ...This module contains concepts on how to illustrate triangle congruence. After going through this module, you are expected to: 1. define triangle congruence; 2. draw and label the corresponding parts of two congruent triangles; 3. identify corresponding parts of two congruent triangles; and 3. relate triangle congruence in real-life.This activity uses Desmos to recreate the Triangle Congruence Postulates/Theorems. Students will determine which combinations of congruent corresponding parts guarantee triangle congruence and understand why others do not.Triangle congruence maze for SSS, SAS, ASA, AAS, HL. Total Pages. N/A. Answer Key. N/A. Teaching Duration. N/A. Report this Resource to TpT. Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TpT's content guidelines. Reviews. Questions & Answers. More fromIn this self checking digital maze on triangle congruence theorems with instant feedback, students will have 10 problems to solve. Each correct answer will turn green and then the next problem will be revealed. If an answer is incorrect, it will turn red and students will need to try again. It is pe...Mar 14, 2024 · To determine if the triangles are congruent, match up sides with the same number of tic marks: ¯ BC ≅ ¯ MN, ¯ AB ≅ ¯ LM, ¯ AC ≅ ¯ LN. Next match up the angles with the same markings: ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N. Lastly, we need to make sure these are corresponding parts. To do this, check to see if the congruent ...©X M2t0 r1 03d IK ou dtOa2 nSIoPf 3tEw 2a arCe 2 KLTL3CX.u Z iA il xl 8 3rei Sg Ih2t ksH WrZe s7e Cr9vpe mdE.V T 4M Da9d7e z Zw0i8tZh D qI enLfoiyn li yt 8eF SG meaoAmxert or Fy c. h Worksheet by Kuta Software LLCIncenter Maze Answer Key. PDF Circumcenter And Incenter Maze Worksheet Answers The circumcenter is the center of a triangle's circumcircle circumscribed circle. The incenter is the point of intersection of the three angle bisectors. The angle bisectors of a triangle are each one of the lines that divide an angle into two equal angles.Triangle Congruence Maze AAS THE END SAS SS ASA AAS ASA AAS SAS sss SSA ASA AAS SAS SS SAS SAS SAS ASA Start ASA SsS AAA AAS SAS AAS AAS SsS SAS SAS AAS ASA SAS. BUY.The triangle congruence criteria give us a shorter way! With as few as 3 of the measurements, we can often show that two triangles are congruent. We can break up any polygon into triangles. So showing that triangles are congruent is a powerful tool for working with more complex figures, too.TRIANGLE CONGRUENCE POSTULATES Share Share Share by Gemmayalung. Show More. Edit Content. Embed. More. Leaderboard. Show more Show less . This leaderboard is currently private. ... Maze chase is an open-ended template. It does not generate scores for a leaderboard. Log in required. Theme. Fonts. Log in required. Options.Prove triangle congruence Get 3 of 4 questions to level up! Quiz 1. Level up on the above skills and collect up to 320 Mastery points Start quiz. Theorems concerning triangle properties. Learn. Properties of congruence and equality (Opens a modal) Angles in a triangle sum to 180° proofHome of the Bearcats. Grades; Directory; Transcripts; Calendar; Mobile MenuTo determine if the triangles are congruent, match up sides with the same number of tic marks: ¯ BC ≅ ¯ MN, ¯ AB ≅ ¯ LM, ¯ AC ≅ ¯ LN. Next match up the angles with the same markings: ∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N. Lastly, we need to make sure these are corresponding parts. To do this, check to see if the congruent ...Triangle Congruence Review Maze Answer Key Downloaded from dev.mabts.edu by guest WENDY ELVIS Pearl Harbor Attack: Hearings, Nov. 15, 1945-May 31, 1946 Farrar Straus & Giroux The psychology classic—a detailed study of scientific theories of human nature and the possible ways in which human behaviorIn this self checking digital maze on triangle congruence theorems with instant feedback, students will have 10 problems to solve. Each correct answer will turn green and then the next problem will be revealed. If an answer is incorrect, it will turn red and students will need to try again. It is pe...Congruent triangles. In Pre-algebra we learnt that triangles have three sides and three angles. We also learnt that the sum of the angles in a triangle is 180°. If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent.In this self checking digital maze on triangle congruence theorems with instant feedback, students will have 10 problems to solve. Each correct answer will turn green and then the next problem will be revealed. If an answer is incorrect, it will turn red and students will need to try again. It is pe...Displaying top 8 worksheets found for - Special Right Triangle Maze. Some of the worksheets for this concept are Name remember 450 450 300 special right triangles in a, Find the missing side leave your answers as, Reteach applying special right triangles, Special right triangles, Find the value of x and y in each 5, Dn on back of packet name per lo i can prove the, Properties of right ...Congruent Triangles. Triangles where all three angles and all three sides are congruent. The equal sides and angles may not be in the same position (if there is a reflection or rotation) Isosceles triangle. A triangle with 2 congruent sides and 2 congruent angles. Not congruent - SSA. Congruence? How?ASA (Angle-Side-Angle correspondence): If two pairs of corresponding angles have the same measure and the pair of corresponding sides has the same length, the two triangles are congruent. Congruent: Having the same size and shape. Corresponding Angles: Angles in the same relative position in similar or congruent figures.

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That 6.2 AAS Triangle Congruence Essential Question:What does the AAS Triangle Congruence Theorem tell you about two triangles? DO NOT EDIT--Changes must be made through "File info" CorrectionKey=NL-A;CA-A GE_MNLESE385795_U2M06L2.indd 283 02/04/14 1:04 AM Common Core Math Standards The student is expected to: G-SRT.B.5

How Triangle congruence maze for SSS, SAS, ASA, AAS, HL...Learning Resource CenterIf two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent. ASA and AAS are important when solving proofs.Congruent Triangles - Similar Triangle - Which figures are congruent? - Wack A Triangle - Health Triangle Maze Chase - Wellness Triangle - CBT Triangle. Community Congruent triangle Examples from our community Filters 245 ... Triangle Congruence Open the box. by Alee0143. 10th Grade Math. Speed/Velocity Triangle Maze chase. by Angreyes. 8th ...Triangle Congruence Investigation. Author: Caroline Psutka. Topic: Congruence. What consecutive triangle parts need to be congruent in order to show that two triangles are congruent? These applets allow students to explore whether triangle relationships (SSS, AAA, SAS, HL, SSA, ASA, AAS) force triangles to be congruent or not.

When Term. Given: TSR and QRS are right angles; T ≅ Q. Prove: TSR ≅ QRS. Step 1: We know that TSR ≅ QRS because all right angles are congruent. Step 2: We know that T ≅ Q because it is given. Step 3: We know that SR ≅ RS because of the reflexive property. Step 4: TSR ≅ QRS because. of the AAS congruence theorem.again in Lesson 28, where triangle congruence criteria are used to demonstrate why certain properties of parallelograms hold true. We begin establishing new facts using only the definition of a parallelogram, and the properties we have assumed when proving statements. Students combine the basic definition of a parallelogram with triangle congruenceYes No. This concept teaches students how to write congruence statements and use congruence statements to determine the corresponding parts of triangles.…

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li wood heat kiln dried firewood suffolk county ny Description. These self-checking mazes consist of 17 problems to practice proving whether two triangles are congruent by Side-Angle-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), Hypotenuse-Leg (HL). This product includes TWO mazes, along with an answer key! Maze 1 has 9 problems and Maze 2 has 8 problems. quiero vender mi carro en carmaxbiglots outdoor canopy ASA (Angle, Side, Angle) Congruence Rule. Here, if we are having two triangles, where any two angles and sides included between the two angles of one triangle are equal to the angles and sides of the corresponding triangle. Then the two triangles will satisfy the ASA congruency. ∠B = ∠Q.Browse congruent trriangle colour resources on Teachers Pay Teachers, a marketplace trusted by millions of teachers for original educational resources. midnight cowboy role crossword cluebest rings in dark souls 2vinyay Delve into the definition of triangle congruence, explore real-world applications, and master the techniques for solving triangle congruence mazes. With this key in hand, you’ll gain a deep understanding of triangle congruence, enabling you to conquer any geometry challenge that comes your way. nextlink weatherford Triangle congruency by Antionette Jones 1. Congruent Triangles 2. Triangle Congruence: SSS and SAS 3. Triangle Congruence: ASA AAS and HL 4. Classifying Triangles 5. Angle relationships in TrianglesThis concept teaches students how to write congruence statements and use congruence statements to determine the corresponding parts of triangles. ap gov amsco pdf 2023what happened to danielle colbycraigslist sc florence sc Description. These self-checking mazes consist of 17 problems to practice proving whether two triangles are congruent by Side-Angle-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), Hypotenuse-Leg (HL). This product includes TWO mazes, along with an answer key! Maze 1 has 9 problems and Maze 2 has 8 problems.