Question

Parallelogram ABCD, shown on the coordinate grid, is rotated 90° counterclockwise about the origin, creating parallelogram A′B′C′D′.



What is the y-value of the coordinates for vertex D′?

Answer 1

Based on the Parallelogram ABCD and the 90° counterclockwise about the origin, the y-value for vertex D' will be 2.

What is the y-value for D'?

When a shape is rotated 90° counterclockwise about the origin, it means that the points go from the form (x, y) to (-y,x).

The coordinates for D are (2, -4).

The coordinates for D' would therefore be:

(4, 2)

This means that the y-value for vertex D' is 2.

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