Question

a rectangle has one vertex at (0,2). after a 90 degrees rotation clockwise about the origin, where is the image of this vertex?○ (0,2)○ (0,-2)○ (2,0)○ (-2,0)question 1010 ptswhich of the following transformations is equivalent to a 360 degrees rotation about the origin?○ the figure is rotated 180 about the origin.○ the figure is reflected over the y-axis.○ the figure is translated 5 units right.○ the figure maps onto itself (no change).

Explanation:

Step1: Apply 90° clockwise rotation rule

For a point $(x,y)$, 90° clockwise rotation about the origin transforms it to $(y,-x)$. Substitute $(0,2)$:
$(2, -0) = (2,0)$

Step2: Analyze 360° rotation effect

A 360° rotation about the origin returns every point to its original position, so the figure maps onto itself.

Answer:

1. (2,0)
2. The figure maps onto itself (no change).