Question

Determine whether the following statements are true or false. If false, explain why.

1) Point (3,2) to (3,-2) is a reflection over the y-axis.


2) A(1,3) to A'(-1,3) is a reflection over the y-axis

Answer 1

see the explanation

Explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

(x,y) -----> (-x,y)

The rule of the reflection of a point across the x-axis is equal to

(x,y) -----> (x,-y)

so

Verify each statement

1) Point (3,2) to (3,-2) is a reflection over the y-axis.

The statement is false

Because, is a reflection over the x-axis

A reflection over the y-axis will be

(3,2) -----> (-3,2)

2) A(1,3) to A'(-1,3) is a reflection over the y-axis

The statement is true