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

Question

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## Answers ( No )

Answer:A’ would be return to its original position .Step-by-step 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 .point A’ will lie at (1,1).