Similar Shapes

Front

What is the definition of similar shapes?

Back

Similar shapes are figures that have the same shape but may differ in size.

Front

What is a scale factor?

Back

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

Front

If Triangle ABC is similar to Triangle XYZ and the scale factor is 2, what does this mean?

Back

It means that each side of Triangle ABC is twice the length of the corresponding side in Triangle XYZ.

Front

True or False: All corresponding sides of similar figures are proportional.

Back

True

Front

What are corresponding sides in similar shapes?

Back

Corresponding sides are sides that are in the same position in different plane figures.

Front

If the scale factor of two similar shapes is 5/2, how does the area of the larger shape compare to the smaller shape?

Back

The area of the larger shape is (5/2)² = 25/4 times the area of the smaller shape.

Front

What is the relationship between the angles of similar shapes?

Back

The corresponding angles of similar shapes are equal.

Front

If two triangles are similar, what can we say about their perimeters?

Back

The ratio of their perimeters is equal to the scale factor.

Front

What does it mean if two shapes are congruent?

Back

Congruent shapes are identical in shape and size, unlike similar shapes which may differ in size.

Front

If Triangle ABC has sides of lengths 3, 4, and 5, and Triangle XYZ is similar with a scale factor of 3, what are the lengths of the sides of Triangle XYZ?

Back

The sides of Triangle XYZ are 9, 12, and 15.