Similar Triangles: AA Similarity

Front

What is the AA Similarity Postulate?

Back

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

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are congruent.

Front

If triangle ABC is similar to triangle DEF, what can be said about the sides of the triangles?

Back

The corresponding sides of similar triangles are proportional.

Front

Find the value of x if triangle ABC is similar to triangle DEF and the sides are in the ratio 2:3. If AB = 4 ft, what is DE?

Back

DE = 6 ft.

Front

If two triangles have angles measuring 30°, 60°, and 90°, what can be concluded about the triangles?

Back

The triangles are similar by AA similarity.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If triangle PQR is similar to triangle STU, and PQ = 5 cm, ST = 10 cm, what is the ratio of the sides?

Back

The ratio of the sides is 1:2.

Front

Are triangles with angles measuring 45°, 45°, and 90° similar to triangles with angles measuring 30°, 60°, and 90°?

Back

No, they are not similar because their angles are not congruent.

Front

If triangle XYZ is similar to triangle ABC, and the length of XY is 8 cm and AB is 4 cm, what is the scale factor?

Back

The scale factor is 2.

Front

What does it mean for two triangles to be similar?

Back

It means they have the same shape but may differ in size.