Question

given points j(2,5), a(5,4), and r(3,2), graph △jar and its reflection image across the given line. the x - axis choose the correct graph below. a. b. c. d.

Explanation:

Step1: Find the reflection of each point

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

Step2: Check the graph

We need to check which of the given graphs has the original triangle \( \triangle JAR\) with vertices \(J(2,5)\), \(A(5,4)\), \(R(3,2)\) and the reflected triangle with vertices \(J'(2, - 5)\), \(A'(5,-4)\), \(R'(3,-2)\).

Answer:

B.