Question

The coordinates of the vertices of two rectangles, Rectangle ABCD and Rectangle PQRS are given below.

Rectangle ABCD - A(-8, 8), B(-2, 8), C(-2, 0), D(-8, 0)
Rectangle PQRS - P(-4, 4), Q(8, 4), R(8, -12), S(-4, -12)

Sid 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 ABCD and Rectangle PQRS?

Answer 1

Rectangle ABCD by 2 and 1/2 and Rectangle PQRS by 1 and 1/4 to create congruent rectangle of dimensions 15 x 20 units

Rectangle ABCD by 2 and 1/2 and Rectangle PQRS by 1 and 1/4 to create congruent rectangles of dimensions 3 x 4 units

Rectangle ABCD by 3 and Rectangle PQRS by 12 to create congruent rectangles of dimensions 15 x 20 units

Rectangle ABCD by 3 and Rectangle PQRS by 4 to create congruent rectangles of dimensions 3 x 4 units

Answer 2

The 2nd and 4th do not result in quads of 3x4 units.
The 3rd does not produce quads of 15x20 units.

Answer 3

So the answer is A?

Answer 4

That's the only one left, yes?

Answer 5

Haha, well, thank you:)

Answer 6

YW! :-)