benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / A triangle with vertices A(0,2), B(−3,2), and C(−3,0) is reflected about the x-axis, then the image triangle A'B'C' is rotated counterclockwise about the origin by 90^(∘) to produc…

Problem

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

problem

A triangle with vertices A(0,2)A(0, 2), B(−3,2)B(-3, 2), and C(−3,0)C(-3, 0) is reflected about the xx-axis, then the image triangle $A'B'C'$ is rotated counterclockwise about the origin by 90∘90^{\circ} to produce triangle $A''B''C''$. Which of the following transformations will return triangle $A''B''C''$ to triangle ABCABC? (A) counterclockwise rotation about the origin by 90∘90^{\circ}. (B) clockwise rotation about the origin by 90∘90^{\circ}. (C) reflection about the xx-axis (D) reflection about the line y=xy = x (E) reflection about the yy-axis.
Plain-text mathematical notation (without MathML)
A triangle with vertices A(0,2), B(−3,2), and C(−3,0) is reflected about the x-axis, then the image triangle $A'B'C'$ is rotated counterclockwise about the origin by 90^(∘) to produce triangle $A''B''C''$. Which of the following transformations will return triangle $A''B''C''$ to triangle ABC?

(A) counterclockwise rotation about the origin by 90^(∘).
(B) clockwise rotation about the origin by 90^(∘).
(C) reflection about the x-axis
(D) reflection about the line y=x
(E) reflection about the y-axis.
Original LaTeX notation
A triangle with vertices $A(0, 2)$, $B(-3, 2)$, and $C(-3, 0)$ is reflected about the $x$-axis, then the image triangle $A'B'C'$ is rotated counterclockwise about the origin by $90^{\circ}$ to produce triangle $A''B''C''$. Which of the following transformations will return triangle $A''B''C''$ to triangle $ABC$?

(A) counterclockwise rotation about the origin by $90^{\circ}$.
(B) clockwise rotation about the origin by $90^{\circ}$.
(C) reflection about the $x$-axis
(D) reflection about the line $y = x$
(E) reflection about the $y$-axis.

level

Level 1

type

Precalculus

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
698b8297-4102-5ccf-9676-62b3625330f0
task_key
precalculus--test--698b8297-4102-5ccf-9676-62b3625330f0
task_revision_id
1
config / split
precalculus / test

Official source

initial import