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

In similar figures, corresponding angles are congruent (equal in measure).

Front

What is the property of corresponding sides in similar figures?

Back

In similar figures, the lengths of corresponding sides are proportional.

Front

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

Back

The ratios of the lengths of their corresponding sides are equal.

Front

How do you find the height of an object using similar triangles?

Back

You can set up a proportion using the heights and shadow lengths of the objects to find the unknown height.

Front

What is the scale factor in similar figures?

Back

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

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the scale factor?

Back

The scale factor is 9/6 or 3/2.

Front

What is the relationship between the areas of two similar figures?

Back

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

Front

If two similar rectangles have a scale factor of 2:3, what is the ratio of their areas?

Back

The ratio of their areas is (2^2):(3^2) = 4:9.

Front

What does it mean for two figures to be congruent?

Back

Congruent figures are identical in shape and size, meaning all corresponding sides and angles are equal.