Similar Triangles Retake

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the AA similarity postulate?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (AA~).

Front

What is the SSS similarity theorem?

Back

If the sides of two triangles are in proportion, then the triangles are similar (SSS~).

Front

What is the SAS similarity theorem?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar (SAS~).

Front

If triangle ABC is similar to triangle DEF, and AB = 6, BC = 8, and DE = 9, what is the length of EF?

Back

12 (Using the proportion AB/DE = BC/EF).

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If the longest side of triangle ABC is 13 and the longest side of triangle DEF is 26, what is the ratio of similarity?

Back

2:1 (The ratio of the longest sides).

Front

How can you determine if two triangles are similar using their angles?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA~).

Front

What is the formula to find the length of a side in similar triangles?

Back

If triangles are similar, then a/b = c/d, where a and b are corresponding sides, and c and d are the sides of the other triangle.

Front

If triangle PQR is similar to triangle XYZ, and PQ = 10, QR = 15, and XY = 5, what is the length of YZ?

Back

7.5 (Using the proportion PQ/XY = QR/YZ).