Question

what rule maps figure a onto figure c? (1 point) (r_{90^{circ}}) (r_{y - axis}) (r_{y = 0}) (r_{x - axis})

Explanation:

Step1: Analyze rotation and reflection rules

A $90^{\circ}$ rotation ($R_{90^{\circ}}$) changes the coordinates in a specific way. A reflection over the y - axis ($r_{y - axis}$) changes the sign of the x - coordinate. A reflection over the line $y = 0$ (x - axis) changes the sign of the y - coordinate and a reflection over the line $x=0$ (y - axis) changes the sign of the x - coordinate.

Step2: Observe the transformation

If we look at the vertices of Figure A and Figure C, we can see that the x - coordinates of the vertices of Figure A have their signs changed to get Figure C. This is the rule for a reflection over the y - axis.

Answer:

$\tau_{y - axis}$