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'?

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'

Answer 1

the rest of answers
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

@LillieMax We have
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 but both are the same
Leah scaled both the rectangles about their centers to create two congruent rectangles A′B′C′D′ and P′Q′R′S′.

Answer 3

so would i do 0/-4 and 4/6?

Answer 4

nope, you said that it's scaled but we need the new coordinates?

Answer 5

those are only things listed in question

Answer 6

If you read the question, it says she scales two rectangles A'B'C'D' and P'Q'R'S'
but the new rectangles are also A'B'C'D' and P'Q'R'S' O_o

Answer 7

I guessed and the answer was the second one it says. I dont get it. I think they mislabeled it

Answer 8

imma still give u a medal for trying :)

Answer 9

is there a figure?

Answer 10

there was no figure at all i listed everything there was

Answer 11

oh my god, I got it

Answer 12

do you know the distance formula?

Answer 13

:O I see what to do haha square root of x2-x1squared + y2-y1 squared. I got it now thank you :D

Answer 14

really ?

Answer 15

yeah

Answer 16

Good, find the sides of both the rectangles and then scale such that they become equal

Answer 17

thank you for all the help you have given me today! :D

Answer 18

you're welcome, I appreciate that you try to learn :D