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'?

Answer 1

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 1 by 3 and Rectangle P'Q'R'S' by 1 by 2 to create congruent rectangles of dimensions 3 x 2 units

Rectangle A'B'C'D' by 1 by 3 and Rectangle P'Q'R'S' by 1 by 2 to create congruent rectangles of dimensions 4 x 3 units

Rectangle A'B'C'D' by 1 by 2 and Rectangle P'Q'R'S' by 2 to create congruent rectangles of dimensions 2 x 3 units

Answer 2

begin with finding length of two correspondig sides

for ex :
length of sides AB and PQ

Answer 3

okay then after that what do i do?

Answer 4

after that take the ratio, you will get something like

AB/PQ = 3/2