Similarity and Dilations Review

Front

Similar figures have the same ______ but different ______.

Back

shape; sizes

Front

Calculate the value of the scale factor between the 2 triangles: If Triangle A has sides of 3 cm, 4 cm, and 5 cm, and Triangle B has sides of 9 cm, 12 cm, and 15 cm, what is the scale factor?

Back

3

Front

Which of the following is NOT true about similar figures? A) Similar figures always have the same shape. B) Similar figures always have the same size. C) Similar figures always have corresponding angles that are equal. D) Similar figures always have corresponding sides that are proportional.

Back

B) Similar figures always have the same size.

Front

When a dilation has a scale factor greater than one, the dilation is an enlargement. True or False?

Back

True

Front

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

Back

¼

Front

What is the definition of similarity in geometry?

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Front

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

Back

Their corresponding angles are equal.

Front

If a triangle has sides of lengths 5, 12, and 13, and is dilated by a scale factor of 2, what are the lengths of the sides of the new triangle?

Back

10, 24, and 26.

Front

What is a dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape.

Front

If the scale factor of a dilation is ½, what happens to the size of the figure?

Back

The figure is reduced to half its original size.