Mathematics, 23.02.2020 07:27 mariahbugg7

Triangle ABC with vertices A(1,1), B(2,4) and C(3,1) is rotated 90°
counterclockwise about the origin and then translated using (x, y) →
(x - 2y + 3). What are the coordinates of the final image of point C under
this composition of transformations?
A. (3,-6)
B. (-3,6)
C. (-3,1)
D. (-1,3)

Answers: 3

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Answers

Answer from: Chen19241

The coordinates of the final image of point C under

this composition of transformations will be (-3,6).

Therefore, the option B is correct.

Step-by-step explanation:

The rule of 90 degree counterclockwise rotation about the origin

When we rotate a figure of 90° counterclockwise about the origin, each point of the given figure or original object gets changed from (x,y)

So when triangle ABC with vertices A(1,1), B(2,4) and C(3,1) is rotated 90°

counterclockwise about the origin, observe the transformation of

the point C(3,1):

P(x, y) → P'(-y, x)

C(3,1) → C'(-1,3)

And then translated using (x,y) → (x - 2, y + 3). So,

(x,y) → (x - 2, y + 3)

C'(-1,3) → C''(-1 - 2, 3 + 3) = C''(-3, 6)

So, the coordinates of the final image of point C under

this composition of transformations will be (-3,6).

Therefore, the option B is correct.

Answer from: Quest

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step-by-step explanation:

Choose the function that the graph represents

Answer from: Quest

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step-by-step explanation:

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Triangle ABC with vertices A(1,1), B(2,4) and C(3,1) is rotated 90°
counterclockwise about the...

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