Dilations and Proportions

What is the scale factor of a dilation that enlarges a shape by a factor of 2?

• 3

• 1

• 4

• 2

If the scale factor of a dilation is 0.5, what happens to the shape?

• The shape becomes smaller by half.

• The shape becomes larger by double.

• The shape remains the same size.

• The shape becomes larger by half.

A rectangle has dimensions 4cm by 6cm. If it is dilated with a scale factor of 3, what are the new dimensions?

• The new dimensions are 10cm by 15cm.

• The new dimensions are 8cm by 12cm.

• The new dimensions are 12cm by 18cm.

• The new dimensions are 16cm by 24cm.

A triangle has side lengths of 5cm, 8cm, and 10cm. If it is dilated with a scale factor of 0.5, what are the new side lengths?

• The new side lengths are 2.5cm, 4cm, and 5cm.

• The new side lengths are 6cm, 9cm, and 12cm.

• The new side lengths are 3cm, 6cm, and 8cm.

• The new side lengths are 1cm, 4cm, and 7cm.

What is the scale factor of a dilation that reduces a shape by a factor of 0.75?

• 2.0

• 0.75

• 0.5

• 1.25

If the scale factor of a dilation is 1.5, what happens to the shape?

• The shape will remain the same size

• The shape will be enlarged.

• The shape will become a different color

• The shape will be reduced

A square has side length 10cm. If it is dilated with a scale factor of 2.5, what is the new side length?

• 25cm

• 30cm

• 20cm

• 15cm

A rectangle has dimensions 8cm by 12cm. If it is dilated with a scale factor of 0.4, what are the new dimensions?

• The new dimensions are 3.2cm by 4.8cm.

• The new dimensions are 10cm by 15cm.

• The new dimensions are 5cm by 7cm.

• The new dimensions are 2cm by 3cm.

A triangle has side lengths of 12cm, 16cm, and 20cm. If it is dilated with a scale factor of 1.2, what are the new side lengths?

• The new side lengths are 14.4cm, 19.2cm, and 24cm.

• The new side lengths are 11.4cm, 15.2cm, and 19cm.

• The new side lengths are 15cm, 20cm, and 25cm.

• The new side lengths are 10cm, 13.3cm, and 16cm.

Triangle CDE is dilated using center C, and the new image is triangle CAB. What do you know about angle 1 and angle 2?

• They are both divisible by 2

• They are the same measure

• They get bigger

• They get smaller