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Sagot :
Since the Dilating polygon WXYZ will alter the side lengths of the polygon. The correct option is option (b) the slope of WX is 3/4, and the length of W'X' is 15.
What is the vertex about?
The coordinates in the question were:
(3,2), and (7,5).
Then the slope of WX is:
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
So m = [tex]\frac{{5} - 2 }{7-3} }[/tex]
=3/4
The length of WX is calculated by:
[tex]WX = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1}) ^ 2}[/tex]
[tex]\sqrt{(7-3)^2 + (5-2)^2} \\\\= \sqrt{25} \\\\= 5[/tex]
Since, The scale factor is = 3.
Hence, WX = 3 x 5 = 15
Therefore, Since the Dilating polygon WXYZ will alter the side lengths of the polygon. The correct option is option (b) the slope of WX is 3/4, and the length of W'X' is 15.
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