### Reflection of Quadrilateral ABCD Across the x-axisIn this exercise, you are required to plot the image of quadrilateral \(ABCD\) under a reflection across the \(x\)-axis. The initial quadrilateral \(ABCD\) is displayed on a coordinate plane with points \(A\), \(B\), \(C\), and \(D\) being clearly marked. #### Explanation of the Initial Quadrilateral1. **Quadrilateral ABCD:** - \(A(2, 4)\) - \(B(-4, 3)\) - \(C(-3, -6)\) - \(D(0, -3)\)2. **Coordinate Plane Description:** - The \(x\)-axis runs horizontally, and the \(y\)-axis runs vertically. - Both axes are labeled with positive and negative values, and a grid with a scale from -7 to 7 on both axes is provided to assist with plotting coordinates accurately.#### Reflection ProcessWhen reflecting a point across the \(x\)-axis, the \(x\)-coordinate remains the same, while the \(y\)-coordinate is multiplied by \(-1\).**Reflection of Points:**- Point \(A(2, 4)\) reflects to \(A'(2, -4)\)- Point \(B(-4, 3)\) reflects to \(B'(-4, -3)\)- Point \(C(-3, -6)\) reflects to \(C'(-3, 6)\)- Point \(D(0, -3)\) reflects to \(D'(0, 3)\)#### Graphical RepresentationThe diagram on the coordinate plane showcases:1. **Original Quadrilateral \(ABCD\):** - Is displayed in blue. - Points \(A\), \(B\), \(C\), and \(D\) plotted at their respective coordinates.2. **Reflected Quadrilateral \(A'B'C'D'\):** - Would be displayed with its points mirrored across the \(x\)-axis. - Points \(A'\), \(B'\), \(C'\), and \(D'\) should be plotted at their new reflected coordinates.With all points plotted:- The shape and size of the quadrilateral ABCD will remain the same after reflection, but its orientation will be flipped across the \(x\)-

Name: ### Reflection of Quadrilateral ABCD Across the x-axisIn this exercis
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: ### Reflection of Quadrilateral ABCD Across the x-axisIn this exercise, you are required to plot the image of quadrilateral \(ABCD\) under a reflection across the \(x\)-axis. The initial quadrilateral \(ABCD\) is displayed on a coordinate plane with