Question

Rectangle ABCD is congruent to rectangle A"B"C"D".
Which sequence of transformations could have been used to transform rectangle ABCD to produce rectangle A"B"C"D"?



A.
Rectangle ABCD was rotated 90° clockwise around the origin and then translated 7 units left.

B.
Rectangle ABCD was rotated 90°counterclockwise around the origin and then reflected across the x-axis.

C.
Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down.

D.
Rectangle ABCD was rotated 90° clockwise around the origin and then reflected across the y-axis.

Answer 1

@iGreen

Answer 2

What do you think?

Answer 3

well it has to go counterclockwise so that knocks out A and D, but im not sure besides that. @iGreen

Answer 4

Yep, hold on

Answer 5

(-y, x)

This is the rotation rule for 90 degrees counterclockwise about the origin.

ABCD = (3, 6), (5, 6), (5, 1), (3, 1)

Change all the points and graph it:

(3, 6) = (-6, 3)
(5, 6) = (-6, 5)
(5, 1) = (-1, 5)
(3, 1) = (-1, 3)

Answer 6

Dont have a nearby graph right now (Sorry about that)

Answer 7

I'm graphing it right now :P

Answer 8

oh lol

Answer 9

A' = (-6, 3)
B' = (-1, 3)
C' = (-1, 5)
D' = (-6, 5)

Answer 10

Still confused

Answer 11

(sorry lol)

Answer 12

There we go..so we want A, B, C, and D to line up exactly as they are..so do we move it down 8 units or reflect it across the x-axis?

Answer 13

Reflect.

Answer 14

Thanks

Answer 15

No..that's incorrect.

Answer 16

Reflecting it across the x-axis will put D on A, C on B, A on D, and B on C.

Answer 17

Ooooh...I see what you mean...

Answer 18

Yeah..moving it down will line the letters up.

Answer 19

Alright thanks....(Got a little confused there, but thanks lol)