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Answer:

The scale factor from Figure A to Figure B is [tex]0.5[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is the scale factor

Let

z-----> the scale factor

In this problem

[tex]z=\frac{hB}{hA}[/tex]

substitute values

[tex]z=\frac{2}{4}=0.5[/tex]

the scale factor is less than 1

therefore

is a reduction

The scale factor from Figure A to Figure B is 0.5

since the scale factor is less than 1 so the figure is contracted.

Given there are two figures of rectangles

Figure A and figure B

We are asked the scale factor from figure A to figure B

Hence the final figure is figure B and the initial figure is Figure A

The scale factor of any figure is defined as formulated in equation (1)

[tex]\rm Scale \; Factor = \dfrac{Final\; Dimension }{Initial\; Dimension } .........(1)[/tex]

According to the given figures we can observe that

Length of pair of  one  parallel  sides of figure A is drawn using 4 squares while the same for figure B uses only 2 squares.

So from the equation (1) we can write that

[tex]\rm Scale \; factor = \dfrac{Dimension \; of \; figure\; B }{Dimension \; of \; figure\; A } = \dfrac{2 }{4 } = \dfrac{1}{2} =0.5[/tex]

So the scale factor from Figure A to Figure B is 0.5

since the scale factor is less than 1 so the figure is contracted.

For more information please refer to the link given below

https://brainly.com/question/8765466

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