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Parallelogram JKLM and the image of JKLM are graphed on the coordinate grid below.

On a coordinate plane, parallelogram J K L M has points (negative 2, 0), (negative 2, negative 3), (negative 4, negative 2), (negative 4, 1). Parallelogram J prime K prime L prime M prime has points (2, 0), (2, 3), (4, 2), (4, negative 1).

Which statements describe the rotation about the origin that transformed JKLM to J’K’L’M’? Check all that apply.
counterclockwise rotation
clockwise rotation
90° rotation
45° rotation
180° rotation

User Hhafez
by
4.6k points

2 Answers

6 votes

Answer:

180 rotation

Step-by-step explanation:

honestly im 50-50 on this hope its not incorrect

User Beltalowda
by
4.5k points
3 votes

Answer:

  • 180º rotation

Step-by-step explanation:

Parallelogram JKLM:

  • J (- 2, 0),
  • K (- 2, - 3),
  • L ( - 4,- 2),
  • M (- 4, 1).

Parallelogram J'K'L'M':

  • J' (2, 0),
  • K' (2, 3),
  • L'(4, 2),
  • M' (4, - 1).

From inspection of the coordinates, you can tell that the signs of both x-coordinates and y-coordinates are changed, while the magnitues are kept. Thus, the algebraic rule for this transformation is:

  • (x, y) → ( - x, - y).

That is the rule for a 180º rotation.

User Cyber Avater
by
4.5k points