Question

δqrs 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 over y - axis rule

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

Step2: Apply the rule to point \(S\)

Given point \(S(3,7)\), using the reflection rule over the \(y\) - axis, we substitute \(x = 3\) and \(y=7\) into the rule. So the \(x\) - coordinate of the image \(S'\) will be \(- 3\) and the \(y\) - coordinate remains \(7\). So \(S'=(-3,7)\).

Answer:

S'(-3, 7)