Angles in Similar Triangles

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

Are the triangles similar? (Provide a reason for your answer)

Back

No, they do not have the same shape or corresponding angles.

Front

Are these figures similar? (Provide a reason for your answer)

Back

Yes, they have the same shape and corresponding angles are equal.

Front

Find the missing side if the sides of two similar triangles are in the ratio 3:5 and one side of the smaller triangle is 9.

Back

15

Front

Are the triangles similar? (Provide a reason for your answer)

Back

Yes, they have the same shape and corresponding angles are equal.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and their corresponding sides are proportional.

Front

If two triangles have angles measuring 30°, 60°, and 90°, are they similar?

Back

Yes, because they have the same angle measures.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

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

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their corresponding sides?

Back

1:2

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

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