Question

35. Performance Task Rectangle WXYZ has a

of 16 units and an area of
perimeter
15 square units.
Part A Graph WXYZ on a sheet of graph paper.
Write a composition of rigid motions describing
two reflections of WXYZ across parallel lines
of your choosing. Graph and label the parallel
lines W'X'Y'Z' and W"X"Y" Z".

Answer 1

To graph rectangle WXYZ, plot the coordinates of the four vertices and connect them. Choose lines parallel to the x-axis and y-axis for reflections. Reflection across the x-axis creates new vertices, W', X', Y', and Z', while reflection across the y-axis creates W'', X'', Y'', and Z''.

Step-by-step explanation:

To graph rectangle WXYZ on a sheet of graph paper, we need to plot the coordinates of the four vertices: W, X, Y, and Z. Let's say the length of the rectangle is 4 units and the width is 3 units. Starting at the origin (0, 0), we can plot the points as follows: W(0, 0), X(4, 0), Y(4, 3), and Z(0, 3). We can then connect the points to form the rectangle.

To describe two reflections of WXYZ across parallel lines, we need to choose the lines. Let's choose the lines parallel to the x-axis and y-axis. The reflections across the parallel lines would result in new vertices: W'(0, -3), X'(4, -3), Y'(4, 0), and Z'(0, 0) for the reflection across the x-axis, and W''(-4, 0), X''(0, 0), Y''(0, 3), and Z''(-4, 3) for the reflection across the y-axis.

Learn more about Graphing a rectangle and describing reflections