Download L7.3 Similar Triangles Postulate 7.1 Angle

L7.3 Similar Triangles
Postulate 7.1 Angle-Angle (AA ' s ) Similarity
If two angles of one triangle are congruent to two angles of another triangle, then…the
triangles are similar.
Example set #1:
Determine whether each set of triangles are similar. If so, write a similarity statement. Explain
your reasoning.
Thm 7.2 Side-Side-Side (SSS
' s ) Similarity
If the corresponding side lengths of two triangles are proportional, then…the triangles
are similar.
Thm 7.3 Side-Angle-Side (SAS
' s ) Similarity
If the lengths of two sides of one triangle are proportional to the lengths of two
corresponding sides of another triangle and the included angles are congruent, then…the
triangles are similar.
Example set #2:
a. Determine whether the triangles are similar. If so, write a similarity statement. Explain your
reasoning.
Thm 7.4 Properties of Similarity
Reflexive Property of Similarity
ABC
Symmetric Property of Similarity If ABC
Transitive Property of Similarity If ABC
ABC
XYZ , then XYZ
XYZ and
Example set #3 (Parts of Similar Triangles):
Find the values of the variables for each of the following.
a.
b.
c.
Homework: L7.3 9-24, 27, 34, 39, 40
XYZ
ABC .
JMN then ABC
JMN