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 the lengths of their corresponding sides are proportional.

Front

What does it mean for sides in similar figures to be proportional?

Back

In similar figures, the ratio of the lengths of corresponding sides is constant. This means that if one side of a figure is twice as long as the corresponding side of another figure, all other sides will also be twice as long.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

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

Back

To find the missing side length in similar figures, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

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 ratio of their sides?

Back

The ratio of their sides is 1:2.

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. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

If the scale factor of two similar rectangles is 3:5, and the length of the smaller rectangle is 9 cm, what is the length of the larger rectangle?

Back

The length of the larger rectangle is 15 cm.

Front

True or False: The areas of similar figures are proportional to the square of the scale factor.

Back

True.

Front

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

Back

The ratio of their areas is 4:9.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the ratio of their corresponding side lengths.