Similar Triangles

Front

If two figures are similar, the corresponding sides are ______________.

Back

proportional

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

Back

proportional, congruent

Front

Find x if the sides of two similar triangles are in the ratio 3:4 and one side of the smaller triangle is 21. What is the corresponding side in the larger triangle?

Back

28

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and their corresponding sides are proportional.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of the lengths of the sides?

Back

2:3

Front

If two triangles are similar and the length of one side of the first triangle is 5 cm and the corresponding side of the second triangle is 15 cm, what is the scale factor?

Back

3

Front

In similar triangles, if one angle measures 30 degrees, what will the corresponding angle in the similar triangle measure?

Back

30 degrees

Front

If the area of triangle A is 36 cm² and triangle B is similar to triangle A with a scale factor of 2, what is the area of triangle B?

Back

144 cm²

Front

What is the relationship between the perimeters of two similar triangles?

Back

The ratio of the perimeters is equal to the ratio of the corresponding sides.

Front

If triangle XYZ is similar to triangle PQR and the lengths of sides XY, YZ, and XZ are 4 cm, 5 cm, and 6 cm respectively, what are the lengths of sides PQ, QR, and PR if the scale factor is 3?

Back

12 cm, 15 cm, 18 cm