Lesson: 9 – 3 Similar Triangles

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Presentation transcript:

Lesson: 9 – 3 Similar Triangles Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.

Review Congruent Triangles Tests for congruence Triangles whose sides and angles are congruent. Tests for congruence SSS SAS ASA AAS New – Tests for similarity

AA Similarity If two angles of one triangle are congruent to two corresponding angles of another triangle, then the triangles are similar.

SSS similarity If the measures of the sides of a triangle are proportional to the measures of the corresponding sides of another triangle, then the triangles are similar.

SAS Similarity If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and their included angles are congruent, then the triangles are similar.

Determine whether the triangles are similar Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement. JMP SSS similarity

Not similar since SSS, SAS, or AA similarity tests prove true. Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement. Not similar since SSS, SAS, or AA similarity tests prove true.

Not similar since sides are not proportional. Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement. Not similar since sides are not proportional.

Find the value of x.

Find the values of x & y

Flag pole is 7.5 meters tall.

Homework Pg. 365 1 – 5 all, 6 – 22 E