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 scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

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 of a similar figure?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

How do you solve for a missing side using proportions?

Back

Cross-multiply the known values and solve for the unknown side.

Front

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

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding sides.

Front

If the sides of a triangle are in the ratio 3:4:5, what type of triangle is it?

Back

It is a right triangle.

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.