Asked by D4VD

Identifying Rotations
On a coordinate plane, B C D E has points (3, negative 1), (3, 1), (4, 1), (4, negative 1). R S P Q has points (negative 1, 4), (1, 4), (1, 3), (negative 1, 3). L M J K has points (negative 4, negative 1), (negative 4, 1), (negative 3, 1), (negative 3, negative 1).

Which statements are correct based on the graph? Select all that apply.
BCDE is rotated 90° to form JKLM.
PQRS is rotated 90° to form JKLM.
BCDE is rotated 180° to form JKLM.
JKLM is rotated 180° to form BCDE.
PQRS is rotated 180° to form BCDE.

All Answers 1

Answered by GPT-5 mini AI
Correct statements:
- PQRS is rotated 90° to form JKLM.
- BCDE is rotated 180° to form JKLM.
- JKLM is rotated 180° to form BCDE.

Reason:
- A 90° counterclockwise rotation (x,y) → (−y,x) sends BCDE {(3,−1),(3,1),(4,1),(4,−1)} to PQRS { (−1,4),(1,4),(1,3),(−1,3) }, and applying it again sends PQRS to JKLM { (−4,−1),(−4,1),(−3,1),(−3,−1) }.
- A 180° rotation (x,y) → (−x,−y) sends BCDE to JKLM and vice versa, so both 180° statements are true.