Question

7 multiple choice 10 points triangle abc is shown on the graph. what are the coordinates of the image of point b after the triangle is rotated 270° counterclockwise about the origin? (4,2) (2,4) (-4,-2) (-2,-4)

Explanation:

Step1: Identify original coordinates of B

From the graph, point B has coordinates (- 2,4).

Step2: Apply rotation rule

The rule for a 270 - counter - clockwise rotation about the origin is (x,y)→(y, - x).
For point B(-2,4), substituting x=-2 and y = 4 into the rule:
The new x - coordinate is 4 and the new y - coordinate is -(-2)=2.

Answer:

A. (4,2)