Question

a figure has vertices (2,1), (5,1), and (2,4). what are the coordinates of the vertices of the new figure when it is reflected over the y - axis?
a (-2, -1), (-5, -1), (-2, -4)
b (2, -1), (5, -1), (2, -4)
c (1, 2), (1, 5), (4, 2)
d (-2, 1), (-5, 1), (-2, 4)

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Apply the rule to each vertex

• For the vertex \((2,1)\):

Using the rule \((x,y)\to(-x,y)\), when \(x = 2\) and \(y=1\), the new point is \((- 2,1)\).

• For the vertex \((5,1)\):

Using the rule \((x,y)\to(-x,y)\), when \(x = 5\) and \(y = 1\), the new point is \((-5,1)\).

• For the vertex \((2,4)\):

Using the rule \((x,y)\to(-x,y)\), when \(x=2\) and \(y = 4\), the new point is \((-2,4)\).

Answer:

d. \((-2,1),(-5,1),(-2,4)\)