Question

question 5 (5 points) listen what are the resulting vertices of triangle efg after rotating triangle efg 180° about the origin? a) e(1, 3), f(-2, 1), g(-1, 4) b) e(3, 1), f(1, -2), g(-1, 4) c) e(3, 1), f(-2, -1), g(-1, 4) d) e(3, 1), f(-2, 1), g(4, -1)

Explanation:

Step1: Identify original vertices

From the graph: $E(-3, -1)$, $F(2, 1)$, $G(1, -4)$

Step2: Apply 180° rotation rule

A 180° rotation about the origin transforms a point $(x,y)$ to $(-x,-y)$.

• For $E(-3, -1)$: $E' = (3, 1)$
• For $F(2, 1)$: $F' = (-2, -1)$
• For $G(1, -4)$: $G' = (-1, 4)$

Step3: Match with options

The transformed vertices match option C.

Answer:

C) $E'(3, 1), F'(-2, -1), G'(-1, 4)$