Two rectangles are drawn on a coordinate plane. Rectangle A B C D is in quadrant 2. Rectangle A prime B prime C prime D prime is in quadrant 1.

Identify the degree of rotation in both directions for the pictured rectangle, centered about the point (1,0)
. Recall that clockwise rotations are denoted with a negative degree.

(1 point)
The quadrilateral is rotated
°
counterclockwise or
°
clockwise.

1 answer

To determine the degree of rotation for the rectangles centered around the point (1,0), we first need to understand the positions of the rectangles in relation to that point.

Rectangle ABCD in quadrant 2 would typically have its vertices such that their x-coordinates are less than 1 (because it’s in quadrant 2, where x is negative) and y-coordinates are positive.

Rectangle A'B'C'D' in quadrant 1 would typically have its vertices with both x-coordinates and y-coordinates greater than 1 (as it's in quadrant 1 where both coordinates are positive).

Since the rectangles are positioned in opposite quadrants, we may consider that a counterclockwise rotation from quadrant 2 to quadrant 1 could be achieved by a 90-degree rotation.

Conversely, if we are considering a clockwise rotation to move from quadrant 1 back to quadrant 2, it would also be a rotation of -90 degrees (a clockwise rotation).

Thus, we can state:

  • The quadrilateral is rotated 90° counterclockwise to go from quadrant 2 to quadrant 1 or -90° clockwise to achieve the same transformation.

So the answer would be 90° counterclockwise or -90° clockwise.