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(0, 4), B(9, 4), C(9, -2), D(0, -2)
Rectangle P'Q'R'S' – 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 A'B'C'D' and Rectangle P'Q'R'S'?

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(0, 4), B(9, 4), C(9, -2), D(0, -2)
Rectangle P'Q'R'S' – 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 A'B'C'D' and Rectangle P'Q'R'S'?

anonymous · Answer

Rectangle A'B'C'D' by 3 and Rectangle P'Q'R'S' by 2 to create congruent rectangle of dimensions 3 x 2 units

 Rectangle A'B'C'D' by  and Rectangle P'Q'R'S' by  to create congruent rectangles of dimensions 3 x 2 units

 Rectangle A'B'C'D' by  and Rectangle P'Q'R'S' by  to create congruent rectangles of dimensions 4 x 3 units

 Rectangle A'B'C'D' by  and Rectangle P'Q'R'S' by 2 to create congruent rectangles of dimensions 2 x 3 units