Proving Triangles Similar

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Presentation transcript:

Proving Triangles Similar Geometry 8-3

Similarity Exploration Get your supplies - Protractor - Ruler Similarity Exploration

Similarity Exploration Draw any triangle ABC A B C Similarity Exploration

Similarity Exploration Draw a second triangle DEF with D A E F B C Similarity Exploration

Similarity Exploration What is true of angles C and F? They are congruent D A E F B C Similarity Exploration

Similarity Exploration Measure the side lengths D A Yes E F B C Similarity Exploration

A – A Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar D A E F B C A – A Similarity Postulate

SSS Similarity Theorem If three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar SSS Similarity Theorem

SAS Similarity Theorem If two sides of one triangle are proportional to two sides of another triangle, and the included angles are congruent, then the triangles are similar SAS Similarity Theorem

Practice

Practice

Practice

Practice

Pages 436 – 438 5 – 19 odd, 25, 27, 31, 33, 51, 53 Homework

Pages 436 – 438 5 – 19 odd, 25, 27, 31, 33, 44, 51, 53 Honors Homework