Solving similar triangles

Front

What is the number you multiply by the sides to create a similar figure?

Back

Scale Factor

Front

If triangle ABC is similar to triangle DEF, and the length of AB is 10 cm and DE is 20 cm, what is the scale factor?

Back

2

Front

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

Back

Their corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of AC is 5 cm, what is the length of DF if the scale factor is 4?

Back

20 cm

Front

What side corresponds with DE in triangle DEF if triangle ABC is similar?

Back

CA

Front

If the scale factor between two similar triangles is 3, and the length of one side of the smaller triangle is 4 cm, what is the length of the corresponding side in the larger triangle?

Back

12 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 triangle XYZ is similar to triangle PQR, and the length of XY is 6 cm and PQ is 9 cm, what is the scale factor?

Back

1.5

Front

If the lengths of the sides of triangle ABC are 3 cm, 4 cm, and 5 cm, what are the lengths of the corresponding sides of triangle DEF if the scale factor is 2?

Back

6 cm, 8 cm, and 10 cm.

Front

What is the definition of similar triangles?

Back

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