Question

If triangle ABC is reflected over the y-axis, reflected over the x-axis, and rotated 180 degrees, where will point A' lie?

(−1, 2)

(−2, 1)

(1, −2)

(2, −1)

Answer 1

In order to find out where the point A lies after a reflection across the Y and X axis, just track point A. This is what I mean, since point A is 2 to the left of the Y axis, then when it is reflected across the Y axis, it will be 2 to the right. Now, since it is up 1 from the X axis, when it is reflected across the X axis, it will be 1 from the X axis. Then, you just rotate the whole entire image 180 degrees (half of a circle) and find the point where A lies.

Answer 2

ok so then the answer should be -2, 1?

Answer 3

No, your image will be in quadrant 4, not quadrant 3.

Answer 4

i am a bit confused so then it would be 2, -1 so sorry this my weak point

Answer 5

The image is reflected once across the Y axis, then it is in quadrant 1, then it is reflected across the X axis, so is in quadrant 4. Now point A is on (2, -1) but you still have to rotate it 180 degrees. This will help you visualize it:

Answer 6

It got cut off a bit sorry, these are the bits that got cut off:

"It gets reflected once across Y axis"

"Then is reflected again across X axis"

Now rotate it 180 degrees. Point A should stay in this quadrant"

Answer 7

got it so then it would be 1, -2