Question

Pentagon OPQRS is shown on the coordinate plane below:

Pentagon OPQRS on a coordinate plane with ordered pairs at O negative 1, 2, at P negative 5, 3, at Q negative 3, negative 2, and R 2, 1, at S 2, 5.

If pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O'P'Q'R'S', what is the ordered pair of point P'?

Answer 1

Answer: $(\frac{-35}{4},\frac{21}{4})$

Step-by-step explanation:

Given: Pentagon OPQRS is dilated by a scale factor of $\frac{7}{4}$ from the origin, to create O'P'Q'R'S'.

We know that if we dilate a figure with coordinates (x,y) by a scale factor k, then the coordinates of the new figure will be (kx,ky).

Given k=$\frac{7}{4}$

And the ordered pair of P =(-5,3)

Therefore, the ordered pair of point P'=$(\frac{7}{4}\times-5,\frac{7}{4}\times3)=(\frac{-35}{4},\frac{21}{4})$

Hence,  the ordered pair of point P'= $(\frac{-35}{4},\frac{21}{4})$