Question

figure ABCD with points A(1,-2),B(3,-1),C(7,-3) and D (2,-3) is rotated 180 clockwise about the orgin to create A'B'C'D' shats are the coordinated of B'

Answer 1

After a 180-degree clockwise rotation about the origin, point B is transformed from (3, -1) to B' at (-3, 1), reflecting the negation of both x and y coordinates.

When a point is rotated 180 degrees clockwise about the origin, its coordinates are negated. To find the coordinates of B' after the rotation, we negate the original coordinates of point B.

Point B has coordinates (3, -1). To obtain B' after the 180-degree clockwise rotation, we negate both the x and y coordinates:

B' = (-3, -(-1)) = (-3, 1)

Therefore, the coordinates of B' are (-3, 1). This means that point B, originally at (3, -1), is now positioned at (-3, 1) after the 180-degree clockwise rotation about the origin. This transformation flips the point across the x-axis and y-axis, effectively creating the new coordinates for B' based on the rotation rule.