Consider AXYZ with vertices X(4, 7), Y(8, 5), and Z(6, 3). Follow the steps to the left to find the coordinates of the image under a 90° counterclockwise rotation about point P(1, 2). EXAMPLE Step 1: Graph AXYZ and the center of rotation, P. Step 2: Write the vectors formed from the center of rotation to each vertex in component form. Step 3: Use the rotation rules about the origin to rotate the vectors. Step 4: Use the rotated vectors to plot ArrZ. Give the coordinates of the image. Y"(LJ

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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!graph and draw as well as label! the given figure and its image under the given rotation about the origin. Give the coordinates of the image!

 

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Consider AXYZ with vertices X(4, 7), Y(8, 5), and Z(6, 3). Follow the steps
to the left to find the coordinates of the image under a
90° counterclockwise rotation about point P(1, 2).
EXAMPLE
Step 1: Graph AXYZ and
the center of rotation, P.
Step 2: Write the vectors
formed from the center of
rotation to each vertex in
component form.
Step 3: Use the rotation
rules about the origin to
rotate the vectors.
X'(L
Step 4: Use the rotated
vectors to plot AX'YZ.
Give the coordinates
of the image.
Y'(L
Z'(LJ
Transcribed Image Text:Consider AXYZ with vertices X(4, 7), Y(8, 5), and Z(6, 3). Follow the steps to the left to find the coordinates of the image under a 90° counterclockwise rotation about point P(1, 2). EXAMPLE Step 1: Graph AXYZ and the center of rotation, P. Step 2: Write the vectors formed from the center of rotation to each vertex in component form. Step 3: Use the rotation rules about the origin to rotate the vectors. X'(L Step 4: Use the rotated vectors to plot AX'YZ. Give the coordinates of the image. Y'(L Z'(LJ
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