Question

PLEASE HELP & EXPLAIN WHY

Triangles DEF and D'E'F' are shown on the coordinate plane in the picture:

What rotation was applied to triangle DEF to create triangle D'E'F'?

A.) 90° clockwise

B.) 180°

C.) None of the above

D.) 90° counterclockwise

Answer 1

it was rotated 180 degrees

Answer 2

180°

Explanation:

The general rule for rotation is:

• Coordinate changes (x, y) to (-x, -y) when Rotation is 180°.
• Coordinate changes (x, y) to (-y, x) when Rotation is 90°.
• Coordinate changes (x, y) to (y, -x) when Rotation is 270°.

Here we see that all three co-ordinates are changes from (x,y) to (-x, -y).

Since, E(1, 3) to E'(-1, -3)

F(7, 3) to F'(-7, -3)

D(-1 ,6) to D'(1, -6)

Hence, rotation is 180°.