Question

HELPPppp!!! uhhhhhhhh......

Answer 1

Given:

The triangle PQR on a coordinate plane.

To find:

The image of point Q after a rotation of 90° counterclockwise about the origin.

Solution:

From the given graph, it is clear that the coordinates of point Q are (5,0).

If the figure is rotated 90° counterclockwise about the origin, then the rule of rotation is defined as

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

Using this rule, we get

$Q(5,0)\to Q'(-(0),5)$

$Q(5,0)\to Q'(0,5)$

So, the image of point Q is (0,5).

Therefore, the correct option is (a).