Question

pentagon opqrs is shown on the coordinate plane below:
image of pentagon opqrs on coordinate plane
if pentagon opqrs is dilated by a scale factor of \\(\frac{7}{4}\\) from the origin to create opqrs, what is the ordered pair of point p? (1 point)
\\(\bigcirc\\) (-8.75, 5.25)
\\(\bigcirc\\) (-1.25, 0.75)
\\(\bigcirc\\) (-3.5, 8.75)
\\(\bigcirc\\) (-1.75, 3.5)

1. (03.01 mc)

jason considered two similar televisions at a local electronics store. the generic version was based on the brand name and was \\(\frac{2}{3}\\) the size of the br
partial text of another question

Explanation:

Step1: Find the coordinates of point \( P \)

From the graph, the coordinates of point \( P \) are \( (-5,3) \).

Step2: Apply the 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 \( x'=k\times x \) and \( y'=k\times y \). Here \( k = \frac{7}{4} \), \( x=-5 \), \( y = 3 \).

$$ x'=\frac{7}{4}\times(-5)=-\frac{35}{4}=- 8.75 $$

$$ y'=\frac{7}{4}\times3=\frac{21}{4}=5.25 $$

Answer:

\((-8.75,5.25)\) (corresponding to the first option)