Similar Triangles

Front

What is the definition of 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

What is the scale factor in similar triangles?

Back

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

Front

If ΔABC is similar to ΔXYZ, and the length of AB is 5 cm and XY is 10 cm, what is the scale factor from ΔABC to ΔXYZ?

Back

2

Front

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

Back

Their corresponding angles are congruent.

Front

If the scale factor from ΔABC to ΔXYZ is 1.5, and the length of side AC is 6 cm, what is the length of side XZ?

Back

9 cm

Front

What is the relationship between the areas of two similar triangles if the scale factor is k?

Back

The ratio of their areas is k².

Front

If the corresponding sides of two similar triangles are in the ratio 3:5, what is the scale factor from the smaller triangle to the larger triangle?

Back

5/3 or approximately 1.67.

Front

Complete the proportion: CB / DM = AC / ?

Back

AD

Front

If the angles of triangle A measure 30°, 60°, and 90°, what are the corresponding angles in a similar triangle?

Back

30°, 60°, and 90°.

Front

What is the scale factor from ΔABC to ΔHGF if the lengths of corresponding sides are 4 cm and 24 cm?

Back

6.