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Crosswords Fun: Congruent Triangle Proofs Answer Key and PDF

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Bianca Stratford

2/2/2023

Geometry

Congruent triangle proofs crossword puzzles solutions

Subjects

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Geometry

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Congruent Triangles

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Triangle Congruence from Transformations

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Proving the ASA and AAS Triangle Congruence Criteria Using Transformations

Crosswords Fun: Congruent Triangle Proofs Answer Key and PDF

This crosswords with congruent triangle proofs answer key provides comprehensive solutions for proving triangle congruence using various methods. It covers key concepts in geometry, including SSS, SAS, AAS, and ASA congruence criteria, as well as important geometric properties and definitions.

  • Includes three pages of crossword puzzles with detailed proofs
  • Covers topics such as midpoints, angle bisectors, parallel lines, and alternate interior angles
  • Demonstrates step-by-step reasoning for each proof
  • Reinforces understanding of geometric theorems and properties
  • Suitable for students learning triangle congruence proofs
...

2/2/2023

326

Name: Answer Key Period___ Proving Triangle Congruence Crossword Complete the proof and fill your answers into the crossword puzzle. R Given

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Page 2: Triangle Congruence Crossword #2

This page continues with two more triangle congruence proofs, focusing on the AAS Angle−Angle−SideAngle-Angle-Side and ASA Angle−Side−AngleAngle-Side-Angle congruence theorems.

The first proof involves triangles ABD and CBD, with the given information:

  • ∠A = ∠C
  • BD bisects ∠ABC

Definition: An angle bisector is a line that divides an angle into two equal parts.

The proof uses the AAS congruence theorem to establish that ΔABD ≅ ΔCBD.

The second proof deals with triangles CME and KMN, given:

  • NR || CE
  • M is the midpoint of CR

This proof employs the ASA congruence theorem to show that ΔCME ≅ ΔKMN.

Example: The proof uses the concept of vertical angles, which are always congruent. In this case, ∠CME ≅ ∠KMN because they are vertical angles.

The crosswords with congruent triangle proofs pdf format continues to engage students in actively thinking about each step of the proof process.

Name: Answer Key Period___ Proving Triangle Congruence Crossword Complete the proof and fill your answers into the crossword puzzle. R Given

View

Page 3: CPCTC Crossword

The final page introduces the concept of CPCTC CorrespondingPartsofCongruentTrianglesareCongruentCorresponding Parts of Congruent Triangles are Congruent in triangle congruence proofs.

The first proof involves triangles LMO and NMO, with the given information:

  • LM = NM
  • MO bisects ∠LMN

The proof uses the SAS congruence theorem to establish triangle congruence, then applies CPCTC to prove that O is the midpoint of LN.

Highlight: CPCTC is a powerful tool in geometry proofs, allowing us to conclude that corresponding parts of congruent triangles are also congruent.

The second proof deals with triangles ACB and ECD, given:

  • AB || ED
  • C is the midpoint of AE

This proof employs the AAS congruence theorem and CPCTC to show that BC = DC.

Quote: "Corresponding Parts of Congruent Triangles are Congruent CPCTCCPCTC"

The crossword puzzle format continues to reinforce the understanding of triangle congruence proofs while introducing the important concept of CPCTC.

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Subjects

Geometry

Congruent Triangles

Triangle Congruence from Transformations

Proving the ASA and AAS Triangle Congruence Criteria Using Transformations

 

Geometry

•

326

•

Feb 2, 2023

•

3 pages

Crosswords Fun: Congruent Triangle Proofs Answer Key and PDF

user profile picture

Bianca Stratford

@biancastratford

This crosswords with congruent triangle proofs answer key provides comprehensive solutions for proving triangle congruence using various methods. It covers key concepts in geometry, including SSS, SAS, AAS, and ASA congruence criteria, as well as important geometric properties and definitions.... Show more

Name: Answer Key Period___ Proving Triangle Congruence Crossword Complete the proof and fill your answers into the crossword puzzle. R Given

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Page 2: Triangle Congruence Crossword #2

This page continues with two more triangle congruence proofs, focusing on the AAS Angle−Angle−SideAngle-Angle-Side and ASA Angle−Side−AngleAngle-Side-Angle congruence theorems.

The first proof involves triangles ABD and CBD, with the given information:

  • ∠A = ∠C
  • BD bisects ∠ABC

Definition: An angle bisector is a line that divides an angle into two equal parts.

The proof uses the AAS congruence theorem to establish that ΔABD ≅ ΔCBD.

The second proof deals with triangles CME and KMN, given:

  • NR || CE
  • M is the midpoint of CR

This proof employs the ASA congruence theorem to show that ΔCME ≅ ΔKMN.

Example: The proof uses the concept of vertical angles, which are always congruent. In this case, ∠CME ≅ ∠KMN because they are vertical angles.

The crosswords with congruent triangle proofs pdf format continues to engage students in actively thinking about each step of the proof process.

Sign up to see the contentIt's free!

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: CPCTC Crossword

The final page introduces the concept of CPCTC CorrespondingPartsofCongruentTrianglesareCongruentCorresponding Parts of Congruent Triangles are Congruent in triangle congruence proofs.

The first proof involves triangles LMO and NMO, with the given information:

  • LM = NM
  • MO bisects ∠LMN

The proof uses the SAS congruence theorem to establish triangle congruence, then applies CPCTC to prove that O is the midpoint of LN.

Highlight: CPCTC is a powerful tool in geometry proofs, allowing us to conclude that corresponding parts of congruent triangles are also congruent.

The second proof deals with triangles ACB and ECD, given:

  • AB || ED
  • C is the midpoint of AE

This proof employs the AAS congruence theorem and CPCTC to show that BC = DC.

Quote: "Corresponding Parts of Congruent Triangles are Congruent CPCTCCPCTC"

The crossword puzzle format continues to reinforce the understanding of triangle congruence proofs while introducing the important concept of CPCTC.

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Proving Triangle Congruence Crossword

This page presents two triangle congruence proofs in a crossword puzzle format. The proofs demonstrate the application of SSS and SAS congruence theorems.

The first proof involves triangles ACS and ARCS, using the following given information:

  • SA = SR
  • C is the midpoint of AR

The proof uses the SSS Side−Side−SideSide-Side-Side congruence theorem to establish that ΔACS ≅ ΔARCS.

Vocabulary: Midpoint - A point that divides a line segment into two equal parts.

The second proof deals with triangles DAB and ABCD, with the given information:

  • DA = BC
  • AD || BC

This proof utilizes the SAS Side−Angle−SideSide-Angle-Side congruence theorem to prove that ΔDAB ≅ ΔABCD.

Highlight: The proof introduces the concept of alternate interior angles, which are congruent when two parallel lines are cut by a transversal.

The crossword puzzle format encourages students to think critically about each step of the proof and how it relates to the overall concept of triangle congruence.

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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

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Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

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Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user