PLEASE HELP !! Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B?
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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