Question

Pentagon opqrs is shown on the coordinate plane below: pentagon opqrs on a coordinate plane with ordered pairs at o(-1, 2), p(-5, 3), q(-3, -2), r(2, 1), and s(2, 5). If pentagon opqrs is dilated by a scale factor of 7/4 from the origin to create o′p′q′r′s′, what is the ordered pair of point p′? 1) (-8.75, 5.25) 2) (-1.25, 0.75) 3) (-3.5, 8.75) 4) (-1.75, 3.5)

Answer 1

The ordered pair of point p′ after the dilation is (-8.75, 5.25).

Step-by-step explanation:

To find the ordered pair of point p′ after the dilation, we need to multiply the x-coordinate and the y-coordinate of point P by the scale factor of 7/4. The x-coordinate of point P is -5 and the y-coordinate is 3, so after multiplying by 7/4, the x-coordinate of point p′ is (-5)*(7/4) = -8.75 and the y-coordinate is (3)*(7/4) = 5.25. Therefore, the ordered pair of point p′ is (-8.75, 5.25).

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