Pages 214 – 216 #10 – 26 (even), 36, and 37 10. 70.5, 70.512. 6314. 53 16. 3218. 4420. 50 22. 4024. 5326. 103 36. m 1 = 48m, m 2 = 60, m 3=72 37. Najee;

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Presentation transcript:

Pages 214 – 216 #10 – 26 (even), 36, and , m 1 = 48m, m 2 = 60, m 3= Najee; some of the measure of the remote angle are equal to the measure of the interior angle.

Congruent Triangles Chapter 4 Section 3 Learning Goal: Definition of Congruent Triangles, CPCTC  Never stop striving, never stop learning, never stop teaching.

What we know about Congruence Segments Angles AC = 25BD = 25 ACBD G H G45° H AC BD

Congruent? Triangles area = 16m 2 Congruent ? NO Congruent ? NO Congruent ? Yes

Congruent Triangles Same Size Same Shape B. ARCHITECTURE A tower's roof is composed of congruent triangles all converging toward a point at the top. Name the congruent triangles. Answer: ΔHIJ  ΔKIL

Def. of Congruent Triangles Congruence Statement? A B C E D F ∆ABC ∆DEF

CPCTC A B C E D F ∆ABC ∆DEF What Parts are Corresponding? m A = m D m B = m E m C = m F AC DF AB DE BC EF

Naming Triangles ∆ABC ∆DEF What Parts are Corresponding? m A = m D m B = m E m C = m F AC DF AB DE BC EF You must make the parts match the name

CPCTC ∆ABC ∆DEF m A = m D m B = m E m C = m F AC DF AB DE BC EF

The support beams on the fence form congruent triangles. Name the corresponding parts and triangle congruence statement if CPCTC

Properties of Triangle Congr. X

Congruence Transformations Rotation

Congruence Transformations Translation (slide)

Congruence Transformations Reflection (flip)

CPCTC Name the Transformation that occurred if Reflection and Translation Reflection Rotation

Homework Pages 220 – 222; #6 – 9 (all), 10, 12, 14, 18, 19, 24, and 39 – 41 (all) (13 problems)