Question

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

Explanation:

Step1: Find the reflection of each point across the \(x -\)axis

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

Step2: Analyze the position of the original and reflected triangles

The original triangle \(\triangle JAR\) has points above the \(x -\)axis and the reflected triangle \(\triangle J'A'R'\) has points with the same \(x -\)coordinates but negative \(y -\)coordinates (below the \(x -\)axis).

Answer:

A.