Similar Figures

Front

What are 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 in proportion.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are congruent (they have the same measure).

Front

What are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position.

Front

If two triangles are similar, what can we say about their side lengths?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

How do you find a missing side length in similar figures?

Back

To find a missing side length, set up a proportion using the lengths of corresponding sides.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

If two figures are similar, what can we say about their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

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 the scale factor of two similar figures is 3:1, what does this mean?

Back

This means that for every 3 units in one figure, there is 1 unit in the other figure.

Front

If a triangle has sides of lengths 5 cm, 12 cm, and 13 cm, is it similar to a triangle with sides 10 cm, 24 cm, and 26 cm?

Back

Yes, because the sides are in proportion (5:10, 12:24, 13:26).