What are the coordinates of each point? Point B is the image of A after a rotation of 1800 using (0, 0) as center. Point C is the image of A after a translation two units to the right, then a reflection using the x-axis. Point D is the image of A after a reflection using the y-axis, then a translation two units to the right.

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Step-by-step explanation:

Ok, so you have point A (-4,3)

To get point B, you rotate 180 degrees around the origin

Point A is in Quadrant 2, So . . Point B is in Quad 4

Quad 4 (+, -) (switch the signs) Point B (4,-3)

Now Point C

Point C is the image of A after a translation two units to the right, then a reflection using the x-axis.

So add two to the x (-4 +2, 3) = (-2,3)

Now, to reflect over the x-axis you switch the sign for the y

Point C (-2,-3)

Last one, Point D

Point D is the image of A after a reflection using the y-axis, then a translation two units to the right.

To reflect over the y-axis, you switch the signs for the x

(4,3)

Now add 2 to the x

(4+2, 3) = Point D (6,3)

A (-4,3) B(4,-3) C (-2,-3) D (6,3)

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step-by-step explanation: