Question

1. point a at (-8, -10) was rotation 180 degrees counterclockwise about the origin to create point a. which of the following represents point a?

○ (-10, -8)
○ (-8, -10)
○ (8, 10)
○ (10, 8)

Explanation:

Step1: Recall 180° rotation rule

For a point \((x, y)\) rotated 180° counterclockwise (or clockwise) about the origin, the rule is \((x, y)\to(-x, -y)\).

Step2: Apply the rule to point \(A(-8, -10)\)

Here, \(x = -8\) and \(y = -10\). So, \(-x=-(-8) = 8\) and \(-y=-(-10)=10\). Thus, the new point \(A'\) is \((8, 10)\).

Answer:

\((8, 10)\) (corresponding to the option with \((8, 10)\))