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3. Triangle ABC is graphed on a plane. If A ABC is rotated 270° about the origin, what are the coordinates of the image? 2- 1- -8 -7 -5-4 4. 6. A' = (-1,6) (63) (13) B' = C' =

3. Triangle ABC is graphed on a plane. If A ABC is rotated 270° about the origin, what are the coordinates of the image? 2- 1- -8 -7 -5-4 4. 6. A' = (-1,6) (63) (13) B' = C' =

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Triangle Rotation Problem** **Problem:** Triangle \( \triangle ABC \) is graphed on a plane. If \( \triangle ABC \) is rotated 270° about the origin, what are the coordinates of the image? **Graph Description:** The graph shows a coordinate plane with Triangle \( \triangle ABC \) plotted. The coordinates of the vertices before rotation are: - \( A \) at (1, 6) - \( B \) at (2, 1) - \( C \) at (3, 5) After a 270° rotation about the origin, the new coordinates are: - \( A' = (-1, 6) \) - \( B' = (-6, 3) \) - \( C' = (-1, 3) \) The graph depicts a right triangle, rotated counterclockwise from its original position. The new position of the triangle is accurately represented on the graph with the vertices marked and connected by lines. The x- and y-axes are labeled and each grid square represents one unit.
Transcribed Image Text:**Triangle Rotation Problem** **Problem:** Triangle \( \triangle ABC \) is graphed on a plane. If \( \triangle ABC \) is rotated 270° about the origin, what are the coordinates of the image? **Graph Description:** The graph shows a coordinate plane with Triangle \( \triangle ABC \) plotted. The coordinates of the vertices before rotation are: - \( A \) at (1, 6) - \( B \) at (2, 1) - \( C \) at (3, 5) After a 270° rotation about the origin, the new coordinates are: - \( A' = (-1, 6) \) - \( B' = (-6, 3) \) - \( C' = (-1, 3) \) The graph depicts a right triangle, rotated counterclockwise from its original position. The new position of the triangle is accurately represented on the graph with the vertices marked and connected by lines. The x- and y-axes are labeled and each grid square represents one unit.
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