Similar shapes

Front

What are similar shapes?

Back

Shapes that have the same shape but may differ in size. They have proportional corresponding sides and equal corresponding angles.

Front

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

Back

Their corresponding angles are equal.

Front

If two shapes are similar, what can be said about their corresponding sides?

Back

Their corresponding sides are in proportion.

Front

What is the scale factor in similar shapes?

Back

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

Front

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

Back

6, 8, and 10.

Front

A rectangle has a length of 4 cm and a width of 2 cm. If a similar rectangle has a length of 8 cm, what is its width?

Back

4 cm.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If the scale factor between two similar shapes is 3:1, what is the ratio of their areas?

Back

9:1.

Front

A student who is 4 feet tall stands beside a tree. The tree has a shadow that is 12 feet long at the same time that the shadow of the student is 6 feet long. Find the height of the tree.

Back

8 feet.

Front

Which statement is true? All squares are similar, All hexagons are similar, All scalene triangles are similar, All similar figures are the same shape and size.

Back

All squares are similar.