Question

Given the vertices of isosceles trapezoid ABCD: A(2, 0), B(4, 0), C(5, -2), D(1, -2).

If the image is reflected over the y-axis, then D' =

(1, 2)
(-1, 2)
(-1, -2)
(-2, 1)

Answer 1

A(x; y)
reflected over y - axis, then A'(-x; y)

therefore

D(1;-2) ⇒ D'(-1;-2)

Answer 2

D' =(-1,-2)

Therefore, Option 3rd is correct.

Explanation:

The reflection rule is:

When we reflect the point (x,y) along y-axis we will get (-x,y)

When we reflect the point (x,y) along x-axis we will get (x,-y)

Here the coordinate D is (1,-2)

Since, we have to tell after it is reflected along y-axis So, according to the rule

We will get

D' =(-1,-2)

Therefore, Option 3rd is correct.