Similar Figures

Front

What is the definition of similar figures?

Back

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

Front

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

Back

proportional, congruent

Front

If two triangles are similar, what can we say about their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If a map has a scale of 1 cm : 5 km, how far apart are two locations that are 3 cm apart on the map?

Back

15 km

Front

What is the relationship between the angles of similar triangles?

Back

All corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Front

If two similar figures have a scale factor of 3:2, and the length of a side in the smaller figure is 10 cm, what is the length of the corresponding side in the larger figure?

Back

15 cm

Front

What does it mean for two figures to be congruent?

Back

Congruent figures are shapes that are the same size and shape, with all corresponding sides and angles equal.