Question

the blue triangle has rotated from quadrant i to quadrant iii about the origin. describe the effects of this rotation on the coordinates of the blue triangle.
a the coordinates switch positions.
b the signs of the coordinates change.
c the sign of the x - coordinate changes.
d the coordinates switch positions and the signs change.

Explanation:

When a figure is rotated \(180^{\circ}\) about the origin (which is the case when moving from Quadrant I to Quadrant III), the rule for the transformation of a point \((x,y)\) is \((x,y)\to(-x, -y)\). This means the sign of both the \(x\) - coordinate and the \(y\) - coordinate changes.

Answer:

B. The signs of the coordinates change.