Question

given points ( j(3,5) ), ( a(5,6) ), and ( r(4,2) ). graph ( \triangle jar ) and its reflection image across the given line. the ( y )-axis choose the correct graph below.

Explanation:

Step1: Find the reflection of each point across the y - axis

The rule for reflecting a point \((x,y)\) across the \(y\) - axis is \((x,y)\to(-x,y)\).
For point \(J(3,5)\), its reflection \(J'(- 3,5)\).
For point \(A(5,6)\), its reflection \(A'(-5,6)\).
For point \(R(4,2)\), its reflection \(R'(-4,2)\).

Step2: Analyze the position of the original and reflected triangles

The original triangle \(\triangle JAR\) has points \(J(3,5)\), \(A(5,6)\), \(R(4,2)\) on the right - hand side of the \(y\) - axis. The reflected triangle \(\triangle J'A'R'\) has points \(J'(-3,5)\), \(A'(-5,6)\), \(R'(-4,2)\) on the left - hand side of the \(y\) - axis.

Answer:

Option C.