Similar Triangles

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

If triangle ABC is similar to triangle DEF and the length of side AB is 6 cm, side DE is 9 cm, what is the length of side BC if side EF is 12 cm?

Back

9 cm

Front

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar: Triangle 1 has angles 30°, 60°, 90° and Triangle 2 has angles 30°, 60°, 90°.

Back

AA

Front

What is the measure of x in similar triangles if the ratio of the sides is 2:3 and one side measures 12?

Back

18

Front

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar: Triangle A has sides 5, 12, 13 and Triangle B has sides 10, 24, 26.

Back

SSS

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded about the triangles?

Back

They are similar (SAS similarity).

Front

What is the ratio of the areas of two similar triangles if the ratio of their corresponding sides is 1:4?

Back

1:16

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 8 cm and side PQ is 4 cm, what is the scale factor?

Back

1:2

Front

In similar triangles, if the lengths of two corresponding sides are 5 cm and 15 cm, what is the ratio of the corresponding angles?

Back

1:1 (angles are congruent).

Front

If triangle ABC is similar to triangle DEF and the perimeter of triangle ABC is 30 cm, what is the perimeter of triangle DEF if the scale factor is 2:1?

Back

15 cm