Question

question 3 (multiple choice worth 1 points) (03.01 mc) pentagon opqrs is shown on the coordinate plane below: if pentagon opqrs is dilated by a scale factor of 7/4 from the origin to create opqrs, what is the ordered pair of point q? (-3.5, -8.75) (-0.75, -0.5) (-5.25, -3.5) (-2.33, -3.5)

Explanation:

Step1: Identify original coordinates of Q

From the graph, the coordinates of point Q are (- 3,-2).

Step2: Apply dilation formula

When a point (x,y) is dilated by a scale factor k from the origin, the new - coordinates (x',y') are given by (kx,ky). Here, k = $\frac{7}{4}$, x=-3 and y = - 2.
x'=$\frac{7}{4}\times(-3)=-\frac{21}{4}=-5.25$
y'=$\frac{7}{4}\times(-2)=-\frac{14}{4}=-3.5$

Answer:

(-5.25,-3.5)