Question

If triangle ABC is reflected over the y-axis, which of the following shows the coordinates for point C'?

(3, 7)
(3, −7)
(−3, 7)
(−3, −7)

Answer 1

The X value would become opposite, so 3 would turn into -3
The Y value would stay the same at 7

The final answer is (-3,7)

Answer 2

Answer: (-3,7)

Explanation:

From the given graph , the coordinates of point C in the triangle ABC = (3,7) .

When a figure reflected over the y-axis the , the rule to determine coordinates of the image is given by :-

`(x,y)\to(-x,y)`

, i.e. only the sign of the x-coordinate changes .

If triangle ABC is reflected over the y-axis, then the coordinates for point C' will be :

`(3,7) \to(-3,7)`

Hence, the coordinates for point C'= (-3,7)

Therefore , the correct option is (-3,7) .