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Crosswords Fun: Congruent Triangle Proofs Answer Key and PDF

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Crosswords Fun: Congruent Triangle Proofs Answer Key and PDF
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Bianca Stratford

@biancastratford

·

498 Followers

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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

195

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 (Corresponding 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 (CPCTC)"

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

View

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-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-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.

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-Side) and ASA (Angle-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.

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

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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

Crosswords Fun: Congruent Triangle Proofs Answer Key and PDF

user profile picture

Bianca Stratford

@biancastratford

·

498 Followers

Follow

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

195

 

Geometry

5

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

Page 3: CPCTC Crossword

The final page introduces the concept of CPCTC (Corresponding 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 (CPCTC)"

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

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-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-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.

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

Page 2: Triangle Congruence Crossword #2

This page continues with two more triangle congruence proofs, focusing on the AAS (Angle-Angle-Side) and ASA (Angle-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.

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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

13 M

Students use Knowunity

#1

In Education App Charts in 12 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