benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Quadrilateral MNPQ has vertices with coordinates M(2,5), N(6,5), P(6,7) and Q(2,7). When the figure is rotated clockwise 270^(∘) around point M and then reflected across the line …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Quadrilateral MNPQ has vertices with coordinates M(2,5)M(2,5), N(6,5)N(6, 5), P(6,7)P(6, 7) and Q(2,7)Q(2, 7). When the figure is rotated clockwise 270∘270^\circ around point MM and then reflected across the line x=1x = 1, what are the coordinates of the final image of point QQ? Express your answer as an ordered pair.
Plain-text mathematical notation (without MathML)
Quadrilateral MNPQ has vertices with coordinates M(2,5), N(6,5), P(6,7) and Q(2,7). When the figure is rotated clockwise 270^(∘) around point M and then reflected across the line x=1, what are the coordinates of the final image of point Q? Express your answer as an ordered pair.
Original LaTeX notation
Quadrilateral MNPQ has vertices with coordinates $M(2,5)$, $N(6, 5)$, $P(6, 7)$ and $Q(2, 7)$. When the figure is rotated clockwise $270^\circ$ around point $M$ and then reflected across the line $x = 1$, what are the coordinates of the final image of point $Q$? Express your answer as an ordered pair.

level

Level 5

type

Geometry

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
65f7ee28-5703-5c6e-ac94-3fce5d35f0c4
task_key
geometry--test--65f7ee28-5703-5c6e-ac94-3fce5d35f0c4
task_revision_id
1
config / split
geometry / test

Official source

initial import