Similar Figures Review

Front

What are similar figures?

Back

Two figures that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

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

Back

All corresponding angles in similar triangles are congruent.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9 (the square of the ratio of the sides).

Front

What is the definition of congruent figures?

Back

Figures that are the same shape and size.

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what are the dimensions of a similar rectangle with a length of 20 cm?

Back

The width of the similar rectangle is 10 cm (the ratio of length to width remains the same).

Front

What is the scale factor in similar figures?

Back

The ratio of the lengths of corresponding sides of two similar figures.

Front

If two similar figures have a scale factor of 1:4, how does this affect their perimeters?

Back

The perimeter of the larger figure is four times that of the smaller figure.

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle are 6 cm, 8 cm, and 10 cm.

Front

What does it mean for two figures to be proportional?

Back

It means that the ratios of their corresponding sides are equal.

Front

If the height of a person is 5 feet and the height of a tree is 15 feet, what is the ratio of their heights?

Back

The ratio of their heights is 1:3.