Question

please help!!! 10 points, easy question

Johnny reflects ∆ABC across the y axis and then again across the x axis.

Hallie rotates ∆ABC 180° clockwise about the origin.

Sally says the resulting images will have the same coordinates.

True? or False?

Answer 1

The answer will be false. The reason for this is because reflecting it across the y-axis will put it below the original figure, then rotating it around the origin 180 degrees will put it to the right side of it.

Answer 2

Answer: TRUE

Step-by-step explanation

reflection across the y-axis changes the sign of the x-coordinate

reflection across the x-axis changes the sign of the y-coordinate

reflection 180° about the origin changes the signs of both the x- and y-coordinates.

Johnny: (x, y) → (-x, y) → (-x, -y)

Hallie: (x, y) → (-x, -y)