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 proportional.

Front

What are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position. For example, if two triangles are similar, the side lengths of one triangle correspond to the side lengths of the other.

Front

True or False: Sides in similar figures must be proportional.

Back

True

Front

If two triangles are similar and one side of the first triangle is 4 cm and the corresponding side of the second triangle is 8 cm, what is the scale factor?

Back

The scale factor is 2.

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 the scale factor between two similar rectangles is 3:1, and the length of the smaller rectangle is 5 cm, what is the length of the larger rectangle?

Back

The length of the larger rectangle is 15 cm.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 6 cm and 12 cm respectively, what is the ratio of their areas?

Back

The ratio of their areas is 1:4.

Front

How do you find a missing side in similar figures?

Back

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

Front

If two similar figures have a scale factor of 1:5, and one side of the smaller figure is 2 cm, what is the corresponding side of the larger figure?

Back

The corresponding side of the larger figure is 10 cm.