Question

A point is reflected across the y-axis. Jimmy says that the reflected point is \left(3.5,6\right), which means the original point was \left(3.5,-6\right). Is Jimmy's statement true or false?

Answer 1

Given:

A point is reflected across the y-axis. The reflected point is (3.5,6).

Jimmy says the original point is (3.5,-6).

To find:

Whether Jimmy's statement true or false

Solution:

If a point is reflected across the y-axis, then y-coordinate remains same but change the sign of x-coordinate.

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

If the reflected point is (3.5,6), then the original point must be (-3.5,6), which is not equal to (3.5,-6).

Therefore, Jimmy's statement is false.