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, 8), B(8, 8), C(8, -4), D(0, -4)
Rectangle P'Q'R'S' – P(0, 4), Q(4, 4), R(4, -2), S(0, -2)

Maria 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 and Rectangle P'Q'R'S' by 2 to create congruent rectangles of dimensions 4 x 3 units

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

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

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

Answer 2

@experimentX

Answer 3

one solution would be to draw it in a \(xy-\)plane, the algebraic solution would be to compare to vertices to each other, then it should jump into your eyes.

Answer 4

yep ... i too recommend that.

Answer 5

Rectangle A'B'C'D' by and Rectangle P'Q'R'S' by \({???}\) to create congruent rectangles of dimensions 2 x 3 units

Answer 6

is there a scaling factor missing? not that it matters, but I am just curious.

Answer 7

no, there is no scaling factor

Answer 8

strange solution then, because there should be a scaling factor for all of them, the scaling factor zero is not really a scaling factor.

Answer 9

thats true