Question

The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?

A'(1, -5)
B'(-3, -4)
C'(-1, -2)
D'(1, 3)

Answer 1

A'(1,-5) on odyssey

Explanation:

Answer 2

`A'(1,-5)`

Explanation:

The coordinates of the given quadrilaterals are

`A(-5,1),B(-4,3),C(-2,1),D(-3,-1)`

The reflection in the line
`y=x` has the mapping,

`(x,y)\rightarrow(y,x)`

We just have to swap the coordinates.

This implies that,

`A(-5,1)\rightarrow A'(1,-5)`

`B(-4,3)\rightarrow B'(3,-4)`

`C(-2,1)\rightarrow C'(1,-2)`

`D(-3,-1)\rightarrow D'(-1,-3)`

Therefore the correct answer is A.

`A'(1,-5)`