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4.4 Using Congruent Triangles CPCTC 2011 1 November 10, 2011 4.4 Using Congruent Triangles: CPCTC Objective: Use triangle congruence and CPCTC to prove that parts of two triangles are congruent.
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Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

Sep 30, 2020

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Page 1: Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

4.4 Using Congruent Triangles CPCTC 2011

1

November 10, 2011

4.4 Using Congruent Triangles: CPCTC

Objective:  Use triangle congruence and CPCTC to prove that parts of two 

triangles are congruent.

Page 2: Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

4.4 Using Congruent Triangles CPCTC 2011

2

November 10, 2011

Warm­up:

Page 3: Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

4.4 Using Congruent Triangles CPCTC 2011

3

November 10, 2011

CPCTC

Review:  You can use three parts of triangles to show that triangles are congruent with SSS, SAS, ASA, and AAS.

Once you know triangles are congruent, you can make conclusions about the remaining parts because, by definition, corresponding parts of congruent triangles are congruent.

Page 4: Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

4.4 Using Congruent Triangles CPCTC 2011

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November 10, 2011

Statements   Reasons

Page 5: Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

4.4 Using Congruent Triangles CPCTC 2011

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November 10, 2011

Statements Reasons

Example:

Page 6: Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

4.4 Using Congruent Triangles CPCTC 2011

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November 10, 2011

Proof

Page 7: Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

4.4 Using Congruent Triangles CPCTC 2011

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November 10, 2011

slide slide

Page 8: Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

4.4 Using Congruent Triangles CPCTC 2011

8

November 10, 2011

About how wide was the river if the officer stepped off 20 paces and each pace was about 2 1/2 feet long?

Page 9: Using Congruent Triangles: CPCTC...4.4 Using Congruent Triangles CPCTC 2011 3 November 10, 2011 CPCTC Review: You can use three parts of triangles to show that triangles are congruent

4.4 Using Congruent Triangles CPCTC 2011

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November 10, 2011

Homework:  page 222

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