Similar Triangles

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

Given that Triangle BAC is similar to Triangle EDF, if angle BAC = 45°, what is angle EDF?

Back

45°

Front

Are the triangles similar if their corresponding angles are not equal?

Back

No

Front

Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?

Back

PT

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 ABC is similar to Triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their sides?

Back

1:2

Front

If two triangles have one angle equal and the sides including these angles are in proportion, are the triangles similar?

Back

Yes

Front

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

Back

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

Front

If Triangle XYZ is similar to Triangle PQR, and XY = 6 cm, what is the length of PQ if the ratio of similarity is 2:1?

Back

3 cm

Front

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

Back

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