Question

the vertices of a triangle are p(-3, 8), q(-4, -4), and r(1, 1). graph and name the vertices for the image when it is rotated 90° counter - clockwise around the origin. los vértices de un triángulo son p(-3, 8), q(-4, -4), y r(1, 1). grafica y nombra los vértices de la imagen cuando se gira 90° en sentido contrario a las agujas del reloj alrededor del origen.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.

Step2: Apply rule to point P

For point P(-3,8), substituting $x = - 3$ and $y = 8$ into the rule, we get $(-8,-3)$.

Step3: Apply rule to point Q

For point Q(-4,-4), substituting $x=-4$ and $y = - 4$ into the rule, we get $(4,-4)$.

Step4: Apply rule to point R

For point R(1,1), substituting $x = 1$ and $y = 1$ into the rule, we get $(-1,1)$.

Answer:

P(-8,-3), Q(4,-4), R(-1,1)