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Andru [333]
3 years ago
8

Which transformation of Figure A results in Figure A' ?

Mathematics
2 answers:
wel3 years ago
6 0

Answer:

The correct answer is a counterclockwise rotation of 90° about the origin.

Step-by-step explanation:

I took the quiz

MariettaO [177]3 years ago
3 0

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

<u>Option B: a counterclockwise rotation of 90° about the origin </u>

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin  is given by

(x,y)\implies (-y,x)

Let us substitute the coordinates of the figure A

Thus, we have,

(0,2)\implies(-2,0)

(-1,6)\implies (-6,-1)

(-4,4)\implies(-4,-4)

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

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