Question

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

Rectangle ABCD – A(-4, 4), B(2, 4), C(2, 0), D(-4, 0)
Rectangle PQRS – 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 ABCD and Rectangle PQRS?

Answer 1

i know the scale factor is 2

Answer 2

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

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

Rectangle ABCD by 1 and 1 by 2 and Rectangle PQRS by 3 by 4 to create congruent rectangles of dimensions 9 x 6 units

Rectangle ABCD by 2 by 3 and Rectangle PQRS by 3 and 1 by 3 to create congruent rectangle of dimensions 9 x 6 units