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△qrs contains the points: q(4, 2) r(5, 1) s(3,7). if the triangle is re…

Question

△qrs contains the points: q(4, 2) r(5, 1) s(3,7). if the triangle is reflected across the y - axis, what will s be? s(-3, 7) s(-3, -7) s(3, 7) s(3, 7)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the y - axis, the rule is $(x,y)\to(-x,y)$.

Step2: Apply rule to point S

The point S is $(3,7)$. Using the rule, $x = 3$ and $y=7$, so the new x - coordinate is $-3$ and the y - coordinate remains 7. The new point $S'$ is $(-3,7)$.

Answer:

$S'(-3,7)$