Question

Which must be true of a scale factor of a dilation if the image is smaller than the original figure?

A. The scale factor is negative.
B. The scale factor is between −1
-1 and 0
C. The scale factor is between 0 and 1.
D. The scale factor is positive.

Which of the following are true about dilations? Select all that apply.
A. Dilations have the same shape as the original image.
B. Dilations can be enlargements of the original image.
C. Dilations can be reductions of the original image.
D. Dilations have the same shape and size as the original image.

Answer 1

Part 1: C. The scale factor is between 0 and 1

Part. 2: A, B, and C ( Dilations have the same shape as the original image, Dilations can be enlargements of the original image, and Dilations can be reductions of the original image.)

Step-by-step explanation:

I got the question right.

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Answer 2

Part 1) Option C. The scale factor is between 0 and 1

Part 2)

Dilations have the same shape as the original image

Dilations can be enlargements of the original image

Dilations can be reductions of the original image

Step-by-step explanation:

Part 1) we know that

When the scale factor is greater than 1, the image is greater than the original figure

When the scale factor is less than 1 and greater than zero, the image is smaller than the original figure

therefore

Must be true

The scale factor is between 0 and 1

Part 2) Which of the following are true about dilations? Select all that apply

Verify each case

case A) Dilations have the same shape as the original image

The statement is true

The dilation not change the shape of the figure

case B) Dilations can be enlargements of the original image

The statement is true

Dilations can be enlargements or reductions of the original figure

case C) Dilations can be reductions of the original image

The statement is true

Dilations can be enlargements or reductions of the original figure

case D) Dilations have the same shape and size as the original image

The statement is false

Dilations have the same shape but not the same size as the original image