Question

1. a figure is reflected from quadrant iv to quadrant iii.

Explanation:

Step1: Recall Quadrant Sign Rules

In the coordinate plane, Quadrant III has both \(x\) and \(y\) negative (\((-,-)\)), Quadrant IV has \(x\) positive and \(y\) negative (\((+,-)\)).

Step2: Analyze Reflection Axes

• Reflecting over the \(x\)-axis changes \((x,y)\) to \((x,-y)\). A point in IV \((+, -)\) would go to \((+, +)\) (Quadrant I), not III.
• Reflecting over the \(y\)-axis changes \((x,y)\) to \((-x,y)\). A point in IV \((+, -)\) would go to \((-, -)\) (Quadrant III).

Answer:

The figure is reflected over the \(y\)-axis.