Question

What transformation is represented by the rule (x, y)→(−x, −y) ?

rotation of 180° about the origin

reflection across the x-axis

rotation of 90° counterclockwise about the origin

reflection across the y-axis

Answer 1

Hello!

In terms of transformations reflecting something across an axis will only switch the x or y value. A rotation of 180° is almost like reflecting across a "diagonal" axis. This balances out the x and y making both numbers negative.

Our answer is rotation of 180° about the origin.

I hope this helps!

Answer 2

rotation of 90° counterclockwise about the origin

Explanation:

My step by step explanation is the screen shot