Proving Similar Triangles

Front

If two figures are similar, their angles are ______.

Back

congruent

Front

What postulate can be used to prove triangles are similar if all three sides are proportional?

Back

SSS (Side-Side-Side) Similarity Postulate

Front

What postulate can be used to prove triangles are similar if two angles of one triangle are congruent to two angles of another triangle?

Back

AA (Angle-Angle) Similarity Postulate

Front

What postulate can be used to prove triangles are similar if two sides are proportional and the included angle is congruent?

Back

SAS (Side-Angle-Side) Similarity Postulate

Front

If two triangles are not similar, what can we conclude about their angles and sides?

Back

Their angles are not congruent and their sides are not proportional.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides are proportional.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the ratio of their sides?

Back

The ratio is 6:9 or 2:3.

Front

If two triangles have one angle equal and the sides including that angle are proportional, what can be concluded?

Back

The triangles are similar by SAS.

Front

What does it mean for two triangles to be similar?

Back

It means they have the same shape but not necessarily the same size.

Front

If triangle XYZ has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

30°, 60°, and 90°.