Question

decide whether the following statement is true or false. if the statement is false, explain why. the point $(-2,2)$ lies in quadrant ii of the rectangular coordinate system. choose the correct answer below. \\(\bigcirc\\) a. false, the point lies in quadrant iii. \\(\bigcirc\\) b. false, the point lies in quadrant i. \\(\bigcirc\\) c. true. \\(\bigcirc\\) d. false, the point lies in quadrant iv.

Explanation:

Step1: Recall quadrant rules

In the rectangular coordinate system, quadrant II has points with \( x < 0 \) and \( y>0 \).

Step2: Analyze the point \((-2,2)\)

For the point \((-2,2)\), the \( x \)-coordinate is \(-2\) (which is less than 0) and the \( y \)-coordinate is \( 2 \) (which is greater than 0). This matches the sign pattern of quadrant II.

Answer:

C. True.