Question

triangle pqr has coordinates p(-1, 5), q(1, 2), and r(-3, -1). determine the coordinates of the vertices of the image after a reflection in the y - axis.

a) p(-1, -5), q(1, -2), and r(-3, 1)
b) p(5, -1), q(2, -1), and r(1, -3)
c) p(1, 5), q(-1, 2), and r(3, -1)
d) p(1, 5), q(1, 2), and r(3, 1)

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eflect a figure in the x - or y - axis\
watch: \translations in the coordinate plane\

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ in the $y - axis$ is $(-x,y)$.

Step2: Reflect point P

For point $P(-1,5)$, applying the rule $(-x,y)$ gives $P'(1,5)$ since $-(-1)=1$ and $y = 5$ remains the same.

Step3: Reflect point Q

For point $Q(1,2)$, applying the rule $(-x,y)$ gives $Q'(-1,2)$ as $-(1)=-1$ and $y = 2$ stays the same.

Step4: Reflect point R

For point $R(-3,-1)$, applying the rule $(-x,y)$ gives $R'(3,-1)$ because $-(-3)=3$ and $y=-1$ is unchanged.

Answer:

C. $P(1,5), Q(-1,2),$ and $R(3,-1)$