Question

The parallelogram below is rotated 90° clockwise about the origin. Use the Polygon Tool to graph the image of the given parallelogram on the coordinate plane. Keyboard Instructions Initial graph state The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 2 unit(s). The vertical axis goes from -10.8 to 10.8 with ticks spaced every 2 unit(s). Polygon with coordinates: (-7, 5), (-8, 3), (-4, 3), (-3, 5), (-7, 5).

Answer 1

(5, 7)

(3, 8)

(3, 4)

(5, -3)

(5, 7)

Step-by-step explanation: I can describe how to graph the image of the parallelogram after a 90° clockwise rotation about the origin.

To rotate a point (x, y) 90° clockwise about the origin, you can use the following formulas:

New_x = y

New_y = -x

Now, let's apply these formulas to each of the points of the parallelogram:

(-7, 5) becomes (5, 7)

(-8, 3) becomes (3, 8)

(-4, 3) becomes (3, 4)

(-3, 5) becomes (5, -3)

(-7, 5) becomes (5, 7)

So, the image of the parallelogram after a 90° clockwise rotation about the origin would have the following coordinates:

(5, 7)

(3, 8)

(3, 4)

(5, -3)

(5, 7)

You can plot these points on a coordinate plane to visualize the rotated parallelogram. The rotated parallelogram should appear as a different shape but maintain its area and orientation relative to the original parallelogram.