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 property of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are congruent (equal in measure).

Front

If two triangles are similar, what can be said about their side lengths?

Back

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

Front

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

Back

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

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 the length of one side of a similar figure is 10 cm and the corresponding side in another figure is 15 cm, what is the scale factor?

Back

The scale factor is 10:15 or 2:3.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of the lengths of corresponding sides.

Front

If two similar rectangles have a length of 6 cm and 9 cm, what is the ratio of their lengths?

Back

The ratio of their lengths is 6:9 or 2:3.

Front

If the area of one similar figure is 36 cm², what is the area of the other figure if the scale factor is 2?

Back

The area of the other figure is 144 cm² (since area scales by the square of the scale factor).

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means they do not have the same shape, their corresponding angles are not equal, or their corresponding sides are not in proportion.