Question

Geometry (Picture included) -


If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie?

A. (1, −1)
B. (−4, 1)
C. (1, 1)
D. (−4, −1)

Answer 1

So, it's going to reflect off the Y-axis (to the right). So Y-axis is a mirror. The points only change by going positive.

D is (0,1). It would switch to (0,1) because it stays on the same point.
B is (-3,2). Since it's reflecting, it would become (3,2).

This is the same for the other points. Just remove the negative.

Answer 2

That's reflecting off the Y-Axis.

Answer 3

ok, I think I get it, how about rotating 180 degrees?

Answer 4

the answer for that would be (-4,-1) because you would rotate the trapezoid 180˚ and before that you would reflect them both times first to the right side of the (-,-) then to the bottom of the (+,+) then the reflection of (+,-) it would be (-,-)

Answer 5

therefore your answer would be A (-,-) which is (-4,-1)

Answer 6

Once over the y-axis, then once over the x-axis. So that would go into the (+,+) then the (+,-) then you rotate it 180˚ which would make it in the (-,-)’s

Answer 7

Quadrants.

Quadrant 2 (-,+) | Quadrant 1 (+,+)
|
|
_________________|__________________
Quadrant 4 (-,-) | Quadrant 3 (+,-)
|
|

Answer 8

the correct answer i meant to say was (-4,1)if trapezoid ABCD was reflected over the Y-axis (x,y) — (-x,y) (-4,1) — (4,1) Then ABCD was reflected over the X-axis, (x,y) — (x,-y) (4,1) — (4,-1) At the end rotate ABCD 180º (X,Y) — (-x,-y) (4,-1) — (-4,1)

Answer 9

i thought the answer was (-4,-1) but i might have been wrong.

Answer 10

but do you understand what i did?

Answer 11

Also I know you are trying to explain how to do the problem but next time when qcb is answering first let qcb do it, because it makes it a lot more confusing for 2 people to explain the same thing then maybe explain it wrong.

Answer 12

i know, also if they don’t get how the other person did it then the person watching could help them.

Answer 13

Quadrants.

Quadrant 2 (-,+) | Quadrant 1 (+,+)
|
|
_________________|__________________
Quadrant 4 (-,-) | Quadrant 3 (+,-)
|
Here |

First you reflect it over the y-axis, and go over the line between the (-,+) and the (+,+) then you will end up on the (+,+), after that you reflect it over the x-axis which then you will be on the (+,-), so now you would rotate it 180º and it would get you to the (-,-) Quadrant.

Answer 14

Can you close your post if you are done with it?

Answer 15

yea sure, thanks the both of u, the answer was B :)