Question

katrina is designing a pattern for a mosaic in art class. the first step is to reflect triangle abc across the y - axis. what are the coordinates of the reflected triangle?
○ a. a(0, 0), b(5, - 2), c(5, 6)
○ b. a(0, 0), b(- 2, 5), c(- 5, 6)
○ c. a(0, 0), b(5, 2), c(6, 5)
○ d. a(0, 0), b(2, - 5), c(5, - 6)

Explanation:

Step1: Identify original coordinates

From the graph: $A(0,0)$, $B(2,5)$, $C(5,6)$

Step2: Apply y-axis reflection rule

Rule: $(x,y) \to (-x,y)$
$A'(0,0)$ (since $-0=0$), $B'(-2,5)$, $C'(-5,6)$

Answer:

b. A'(0, 0), B'(-2, 5), C'(-5, 6)