Question

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

Rectangle ABCD – A(0, 4), B(9, 4), C(9, -2), D(0, -2)
Rectangle PQRS – P(-4, 6), Q(2, 6), R(2, 2), S(-4, 2)

Leah 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 she most likely scale Rectangle ABCD and Rectangle PQRS?

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

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

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

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