Question

question 4
10 pts
g.gsr.3.2 (mc)
if triangle abc were rotated 180° around the origin, where would c’ be located?
options: (-5, -1), (-1, 5), (1, -5), (5, -1)

Explanation:

Step1: Find Coordinates of C

From the graph, point C is at \((-5, 1)\).

Step2: Apply 180° Rotation Rule

The rule for a \(180^\circ\) rotation around the origin is \((x, y) \to (-x, -y)\). For \(C(-5, 1)\), substitute \(x = -5\) and \(y = 1\) into the rule: \(-x = -(-5)=5\), \(-y = -1\). So \(C'\) is \((5, -1)\).

Answer:

D. (5, -1) (assuming the last option is D, as per the options: (5, -1) is the correct one)