Which transformation of Figure A results in Figure A' ?

a reflection across the x-axis

a counterclockwise rotation of 90° about the origin

a counterclockwise rotation of 270° about the origin

a translation 3 units left and 4 units down.

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)

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

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

Let us substitute the coordinates of the figure A

Thus, we have,

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.

180

step-by-step explanation:

c is the answer

step-by-step explanation: