Question

Triangle XYZ has vertices X(-1, 3), Y(-1, 1), and Z(-4,1). Triangle XYZ will rotate 180° counterclockwiseabout the origin. What will be the coordinates of Y'?

Answer 1

Rotation of 180 degrees counterclockwise or clockwise around the origin has the following characteristic: the coordinates of the image are M'(-h, -k) for a preimage of M(h,k).

Thus, the coordinates of Y' are:

$Y(-1,1)\rightarrow Y_{}(-(-1),-(1))\text{ }\rightarrow Y(1,-1)$

The answer is Y'( 1, -1) (or option B).