The coordinates of the preimage are: A(−8,−2)

B(−4,−3)

C(−2,−8)

D(−10,−6)

Now let’s find the coordinates after the reflection over the x-axis.

A′(−8,
)

B′(−4,
)

C′(−2,
)

D′(−10,
)

And now find the coordinates after the reflection over the y-axis.

A′′(
,2)

B′′(
,3)

C′′(
,8)

D′′(
,6)

This is also the same as a rotation of 180∘.

9514 1404 393

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate. Reflection over the y-axis changes the sign of the x-coordinate. We can summarize the transformations as ...

  preimage point ⇒ reflection over x ⇒ reflection over y

A(−8,−2) ⇒ A'(-8, 2) ⇒ A"(8, 2)

B(−4,−3) ⇒ B'(-4, 3) ⇒ B"(4, 3)

C(−2,−8) ⇒ C'(-2, 8) ⇒ C"(2, 8)

D(−10,−6) ⇒ D'(-10, 6) ⇒ D"(10, 6)

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step-by-step explanation: