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Transcript
Proving Triangles Similar
AA ~ Postulate:
If two angles of one triangle are congruent to two angles of another triangle, then the triangles
are similar.
(AA~)
SSS ~ Theorem:
If the measures of the corresponding sides of two triangles are proportional, then the triangles
are similar. (SSS~)
SAS ~ Theorem:
If the measures of two sides of a triangles are proportional to the measures of two
corresponding sides of another triangle and the included angles are congruent, then the
triangles are similar. (SAS~)
1.
If ∆𝑅𝑆𝑇~∆𝑋𝑌𝑍, write the proportionality statements for the side lengths.
Are the triangles below similar? If so, write a similarity statement and verify it.
2. ___________________
3. __________________
4. ____________________