Question

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.

Answer 1

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

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

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.

Answer 2

Answer:

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

Step-by-step explanation:

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