Question

the coordinates of the vertices of two rectangles, Rectangle A'B'C'D' and Rectangle P'Q'R'S' are given below.

Rectangle A'B'C'D' – A(-4, 4), B(2, 4), C(2, 0), D(-4, 0)
Rectangle P'Q'R'S' – P(-8, 8), Q(4, 8), R(4, 0), S(-8, 0)

Jake scaled both the rectangles about their centers to create two congruent rectangles A′B′C′D′ and P′Q′R′S′.

By which factor did he most likely scale Rectangle A'B'C'D' and Rectangle P'Q'R'S'?

Answer 1

please helpp

Answer 2

What exactly do you need help with regarding this question?

Answer 3

the answer and how to do it

Answer 4

In general, to find the scale factor of two similar figures:

\[(\frac{x'}{x} , \frac{y'}{y}) \]

Where (x',y') = the coordinate of the second image, and (x,y) = coordinate of the first image.

In this case, since
2 x (-4,4) = (-8,8)
2 x (2,4) = (4,8)
2 x (2,0) = (4,0)
2 x (-4,0) = (8,0)

We know that the scale factor is 2.

Answer 5

I hope any of that makes sense.

Answer 6

thanks. i really appreciate it. this helped out alot