Unit 8 Similar Triangles Retest

Front

What does the AA ~ Theorem state?

Back

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

Front

What does the SSS ~ Theorem state?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does the SAS ~ Theorem state?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

How can you determine if two triangles are not similar?

Back

If none of the similarity criteria (AA, SSS, SAS) are satisfied, the triangles are not similar.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are congruent.

Front

If triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF has sides of lengths 6, 8, and 10, are the triangles similar?

Back

Yes, they are similar by the SSS ~ Theorem because the sides are in proportion (3:6, 4:8, 5:10).

Front

If two triangles have one angle of 60 degrees and the other angle of 30 degrees, what can be concluded about the triangles?

Back

The triangles are similar by the AA ~ Theorem.

Front

What is the value of x if triangle ABC is similar to triangle DEF and the sides are in the ratio 2:3?

Back

If the corresponding side of triangle ABC is 4, then x = 6 (using the ratio 2:3).

Front

If triangle ABC has angles of 45°, 45°, and 90°, what type of triangle is it?

Back

It is an isosceles right triangle.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.