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Sagot :
Dilating polygon WXYZ will change the side lengths of the polygon
The true statement is (b) the slope of WX is 3/4, and the length of W'X' is 15
The coordinates are given as:
[tex]\mathbf{W = (3,2)}[/tex]
[tex]\mathbf{X = (7,5)}[/tex]
The slope of WX is:
[tex]\mathbf{m =\frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m =\frac{5-2}{7-3}}[/tex]
[tex]\mathbf{m =\frac{3}{4}}[/tex]
The length of WX is calculated using:
[tex]\mathbf{WX = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]
So, we have:
[tex]\mathbf{WX = \sqrt{(7- 3)^2 + (5- 2)^2}}[/tex]
[tex]\mathbf{WX = \sqrt{25}}[/tex]
[tex]\mathbf{WX = 5}[/tex]
The scale factor is 3.
So, the distance W'X' is:
[tex]\mathbf{W'X' = 3 \times WX}[/tex]
This gives
[tex]\mathbf{W'X' = 3 \times 5}[/tex]
[tex]\mathbf{W'X' = 15}[/tex]
Hence, the true statement is (b)
Read more about dilations at:
https://brainly.com/question/13176891
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