Question

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

Answer 1

point A' will lie at (1,1).

Answer 2

A' would be return to its original position .

Explanation:

Given : If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°.

To find : where would point A' lie.

Solution : We have given that ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°

By the reflection rule over y axis .( x ,y) →→ ( -x ,y)

Suppose A ( x ,y) if we reflect it over y axis then

A( x ,y) →→ A'( -x ,y)

Now reflect it over x axis (-x ,y) →→( -x ,-y)

Now rotate by 180° it become ( -x, -y) →→( x ,y)

Hence , it return to its original position .

Therefore, A' would be return to its original position .