Similarity Flashcard 1

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding side lengths are equal.

Front

If the ratio of the side lengths of two similar triangles is 3:5, what is the scale factor from the smaller triangle to the larger triangle?

Back

Front

How do you find the length of a side in similar triangles?

Back

To find the length of a side in similar triangles, use the ratio of the corresponding sides and set up a proportion.

Front

What is the scale factor from triangle ABC to triangle DEF if the sides of ABC are 4, 6, and 8 and the sides of DEF are 8, 12, and 16?

Back

The scale factor is 2.

Front

If triangle XYZ is similar to triangle PQR and the length of side XY is 10 and side PQ is 15, what is the ratio of XY to PQ?

Back

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

If the ratio of the areas of two similar triangles is 1:4, what is the ratio of their corresponding side lengths?

Back

Front

What is the relationship between the lengths of corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Front

If triangle ABC is similar to triangle DEF and the length of side AB is 5 and side DE is 10, what is the scale factor from triangle ABC to triangle DEF?

Back

The scale factor is 2.