Question

given points j(2,5), a(6,4), and r(4,2), graph \\( \triangle jar \\) and its reflection image across the given line the y - axis choose the correct graph below. o a. o b. o c. o d.

Explanation:

Step1: Recall the rule for reflection over the y - axis

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

Step2: Find the reflected points

For point \(J(2,5)\), after reflection over the \(y\) - axis, the new point \(J'(- 2,5)\).
For point \(A(6,4)\), after reflection over the \(y\) - axis, the new point \(A'(-6,4)\).
For point \(R(4,2)\), after reflection over the \(y\) - axis, the new point \(R'(-4,2)\).

Step3: Check the graph

By comparing the coordinates of the reflected points with the graphs, we can see that the correct graph is the one where the \(x\) - coordinates of the original triangle's vertices are negated while the \(y\) - coordinates remain the same.

Answer:

B.