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(40 points please explain your answer)
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)

40 points please explain your answer If triangle ABC is reflected over the yaxis reflected over the xaxis and rotated 180 degrees where will point A lie 1 2 2 1 class=

Respuesta :

Answer:

(-2, 1)

Step-by-step explanation:

I'm doing the test now and I drew it out. If you reflect A over the Y axis then it will lie at 2, 1. Then if you flip it over the Y axis it is at 2, -1. Then when rotating something 180 degrees you just switch the signs of the numbers and get -2, 1.

A is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees

A' is (-2,1)

Given :

A triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees.

The rule for reflection over y axis

(x,y) -> (-x,y)

Reflection over x axis is

(x,y) -> (x,-y)

Rotate by 180 degree

(x,y)->(-x,-y)

The point A lies on (-2,1)

Lets find the coordinate of point after reflection over y axis, x axis and rotation by 180 degree using the rules

Reflection over y axis

(-2,1) -> (2,1)

Reflection over y axis

(2,1)-> (2,-1)

Rotate by 180 degrees

(2,-1)-> (-2,1)

So A' is (-2,1)

Learn more : brainly.com/question/20192008

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