Question

Triangle ABC has the vertices A(-3,4), B(0, 2), and C(-2, 1) in the coordinate plane. What will the coordinates of Triangle A'B'C' be after a reflection over the y axis? a. A'(3,-4), B'(0, -2), and C' (2, -1) b. A(3,4), B'(0,2), and C'(2, 1) C. A'(-4, 3), B'(-2, 0), and C'(-1,2) dd. A'(-4,3), B' (2,0), and C'(-1,2)

Answer 1

B

1) Since it is a reflection across the y-axis we can write the following rule:

Pre-image Image

(x, y) (-x,y)

2) Plugging the vertices of ABC we have

Pre-image Image

(x, y) (-x,y)

A(-3,4) A' (3,4)

B(0,2) B' (0, 2)

C(-2,1) C' (2,1)

3) Examining the options, the answer is B