Question

multiple choice 2 points
the diagram shows triangle abc.

grid with triangle abc: a(2,2), b(3,-2), c(1,-1)

which set of coordinates defines the reflection of triangle abc over the y - axis?
○ {(2, - 2), (3, 2), (1, 1)}
○ {(-2, 2), (-1, - 2), (-3, - 1)}
○ {(2, - 2), ((-2, - 3), (-1, - 1)}
○ {(-2, 2), (-3, - 2), (-1, - 1)}

Explanation:

Step1: Identify original coordinates

From the graph: $A(2,2)$, $B(3,-2)$, $C(1,-1)$

Step2: Apply y-axis reflection rule

For a point $(x,y)$, reflection over y-axis is $(-x,y)$.

• $A(2,2) \to (-2,2)$
• $B(3,-2) \to (-3,-2)$
• $C(1,-1) \to (-1,-1)$

Step3: Match to option

The set $\{(-2,2),\ (-3,-2),\ (-1,-1)\}$ matches the result.

Answer:

$\boldsymbol{\{(-2,2),\ (-3,-2),\ (-1,-1)\}}$