Question

Which transformation will map square OABC onto OA'B'C'?

A. a reflection over the line y = x
B. a rotation of magnitude 360° about the origin
C. a reflection over the y-axis
D. a translation of 6 units to the left
E.a rotation of 180° about the origin

Answer 1

Answer: E

Step-by-step explanation: Approved

Answer 2

Hey there! I'm happy to help!

Our first square is the one in Quadrant 1.

OPTION A

The line y=x is one that goes upwards diagonally and passes through the origin. This just cuts the square in half, so reflecting over it would do nothing.

OPTION B

Rotating something 360 degrees just keeps it in the same spot.

OPTION C

Reflecting across the y-axis would put the first square on above the second square, so this option is wrong.

OPTION D

Translating the square 6 units to the left would put it very far away.

OPTION E

Rotating the square 180 degrees will put it in the diagonal quadrant. If you rotate the square it will be right where the second square is, so this translation is E. a rotation of 180 degrees about the origin

Have a wonderful day! :D