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

Question

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

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    0
    2021-09-14T17:39:42+00:00

    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 .

    0
    2021-09-14T17:39:59+00:00

    point A’ will lie at (1,1).

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