Subjects

Careers

Open the App

Subjects

Crosswords Fun: Congruent Triangle Proofs Answer Key and PDF

Open

5

0

user profile picture

Bianca Stratford

2/2/2023

Geometry

Congruent triangle proofs crossword puzzles solutions

Subjects

/

Geometry

/

Congruent Triangles

/

Triangle Congruence from Transformations

/

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

327

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

View

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.

Similar Content

Know Triangle Proofs HL thumbnail

46

1026

Triangle Proofs HL

Learning triangle proofs

Know Triangle Proofs SSS SAS thumbnail

215

2533

Triangle Proofs SSS SAS

What SSS, and SAS? How do we use them to devise a plan to prove triangle congruence?

Know Triangle congruence by ASA and AAS thumbnail

14

278

10th

Triangle congruence by ASA and AAS

Triangle congruence using theorems ASA and AAS

Know Congruence in Right Triangles thumbnail

5

67

10th

Congruence in Right Triangles

Notes about the congruency of right triangles and the theorems for it

Know U4L7 CPCTC and Proofs Review - All Methods Solutions thumbnail

11

1227

U4L7 CPCTC and Proofs Review - All Methods Solutions

U4L7 CPCTC and Proofs Review - All Methods Solutions

Know Triangle Congruencee by SSS and SAS thumbnail

109

523

10th

Triangle Congruencee by SSS and SAS

Notes about triangle congruence using theorems SSS and SAS

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

21 M

Students use Knowunity

#1

In Education App Charts in 17 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

Geometry

Congruent Triangles

Triangle Congruence from Transformations

Proving the ASA and AAS Triangle Congruence Criteria Using Transformations

 

Geometry

•

327

•

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

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 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

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 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.

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

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.

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

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

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

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

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

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

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

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

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

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

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