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4.4 Using Congruent Triangles CPCTC 2010 1 November 01, 2010 Nov 267:46 PM 4.1 4.3 Quick Review: 1. Find a partner. 2. Take out one piece of paper to share. 3. Divide the paper into four even boxes. 4. Draw and label an example for each scenario below. 5. Trade with another group to check each others answers. SSS SAS ASA AAS In each box, draw and label a pair of triangles that could be proven congruent by the given theorem.

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Page 1: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

1

November 01, 2010

Nov 267:46 PM

4.1 4.3 Quick Review:1. Find a partner.2. Take out one piece of paper to share.3. Divide the paper into four even boxes.4. Draw and label an example for each scenario below.5. Trade with another group to check each others answers.

SSS SAS

ASA AAS

In each box, draw and label a pair of triangles that could be proven congruent by the given theorem.

Page 2: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

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November 01, 2010

Nov 2512:05 PM

4.4 Using Congruent Triangles: CPCTC

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

triangles are congruent.

Page 3: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

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November 01, 2010

Nov 2512:06 PM

Page 4: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

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November 01, 2010

Nov 2512:09 PM

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 5: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

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November 01, 2010

Nov 2512:09 PM

Statements Reasons

Page 6: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

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Statements Reasons

Example:

Page 7: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

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Nov 2512:12 PM

Proof

Page 8: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

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November 01, 2010

Nov 2512:12 PM

Page 9: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

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Nov 2512:12 PM

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

Page 10: 4.4 Using Congruent Triangles CPCTC 2010 - staffweb ...staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry/Chapter 4/… · 4.4 Using Congruent Triangles CPCTC 2010 ... Nov 267:46

4.4 Using Congruent Triangles CPCTC 2010

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Homework: page 222

(1 8, 14, 26, 27)

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