Similar Triangles

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 proportional.

Front

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

Back

The corresponding sides are proportional.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, AC = 6, and DE = 8, what is the length of DF?

Back

DF = 12 (using the proportionality of sides).

Front

Complete the proportion: CB / DM = AC / ?

Back

AD.

Front

If triangle XYZ is similar to triangle PQR, and the ratio of XY to PQ is 2:3, what is the ratio of the areas of the triangles?

Back

The ratio of the areas is 4:9 (the square of the ratio of the sides).

Front

What is the scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Front

If two triangles are similar and one triangle has a side length of 10, and the corresponding side in the other triangle is 15, what is the scale factor?

Back

The scale factor is 10:15 or 2:3.

Front

If the two triangles are similar, what is the measurement of x if the sides are in the ratio 2:5 and one side is 10?

Back

x = 25.

Front

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

Back

The ratio of their perimeters is the same as the ratio of their corresponding sides.