A square with corners at A(2, 1), B(9, 1), C(9, 8), and D(2, 8) is rotated 180 degrees counterclockwise about the origin to produce image A'B'C'D'. At which point is image corner B' located?

Question

07-02-2022
Mathematics

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A square with corners at A(2, 1), B(9, 1), C(9, 8), and D(2, 8) is rotated 180 degrees counterclockwise about the origin to produce image A'B'C'D'. At which point is image corner B' located?

Sagot :

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s1m1 s1m1 · Answer 1 · 2022-02-07T09:57:28-05:00

s1m1 s1m1

07-02-2022

Answer:

B'(-9, -1)

Step-by-step explanation:

Rule for rotating 180° : (x, y) →(-x, -y)

A square with corners at A(2, 1), B(9, 1), C(9, 8), and D(2, 8) if rotated 180 degrees counterclockwise about the origin will produce image A'( -2,-1), B'(-9, -1), C'(-9,-8), D'(-2, -8).

At which point is image corner B' located?

B'(-9, -1)

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