Web Analytics
Answered

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'?

Verified Answer :

JeanaShupp

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'= \((\frac{-35}{4},\frac{21}{4})\)

Related Questions