Similar Shapes & Scale Factor Flashcard

Front

What is the definition of similar shapes?

Back

Similar shapes are 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

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar shapes, it is the ratio of the lengths of corresponding sides.

Front

If the ratio of the sides of two similar rectangles is 2:5, what is the ratio of their areas?

Back

4:25

Front

A rectangle has dimensions 4 cm by 6 cm. If a similar rectangle has a shorter side of 8 cm, what is the length of the longer side?

Back

12 cm

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Front

What is the relationship between the scale factor and the areas of similar shapes?

Back

The ratio of the areas of two similar shapes is equal to the square of the scale factor of their corresponding sides.

Front

If two squares have areas of 36 sq cm and 144 sq cm, what is the scale factor of their sides?

Back

4

Front

Find the scale factor of two similar triangles with sides 7 cm, 24 cm, 25 cm and 14 cm, 48 cm, 50 cm.

Back

2

Front

What is the formula to find the area of a rectangle?

Back

Area = length × width.

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 × base × height.