Question

What figure is a dilation of Figure A by a factor of 12?

Answer 1

Answer:

The length of the side 2 in will become : 2/2 = 1 in

The length of the side 4 in will become : 4/2 = 2 in

The length of the side 1 in will become : 1/2 = 0.5 in

The length of the side 5 in will become : 5/2 = 2.5 in

Therefore, option C is correct.

Step-by-step explanation:

Some important factors about dilation:

• A dilation is the kind of a transformation which produces an image containing same shape as the original figure, but has a different size.

• Enlargement occurs when dilation produces a larger image than the original figure.

• Reduction occurs when dilation produces a smaller image than the original figure.

• The original figure is shrunk or stretched by a dilation.

When a figure is dilated by a scale factor of 1/2, the length of the image can be obtained by multiplying the factor of 1/2.

As 1/2 < 0, it means the image will be smaller.

So when a figure A is dilated by a scale factor of 1/2, the length of the image can be obtained by multiplying the factor of 1/2.

Thus

The length of the side 2 in will become : 2/2 = 1 in

The length of the side 4 in will become : 4/2 = 2 in

The length of the side 1 in will become : 1/2 = 0.5 in

The length of the side 5 in will become : 5/2 = 2.5 in

Therefore, option C is correct.