RylinnV686573 RylinnV686573
  • 03-11-2022
  • Mathematics
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How many degrees has ABC been rotated counterclockwise about the origin?A.180B.360C.270D.90

How many degrees has ABC been rotated counterclockwise about the originA180B360C270D90 class=

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BintiS108626 BintiS108626
  • 03-11-2022
Answer:

D. 90°

Explanations:

First, find the coordinates points A, B, and C in △ABC, and the coordinates of A', B', and C' in △A'B'C'

A(-5, 3), B(-4, 6), C(-2, 4)

A'(-3, -5), B'(-6, -4), C'(-4, -2)

By observation of the coordinates of the given triangles, it will be noted that each point of the △ABC changes from from coordinates (x, y) to coordinates (-y, x) in △A'B'C'. This is the 90 degrees counterclockwise rule

△ABC is rotated 90 degrees counterclockwise about the origin to produce △A'B'C'.

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