1. Graph the quadrilateral with vertices C(-9,4), D(-4,8), E(2,6), and F(-3,2). What specific shape is it?

2. Include the work with explanations of how you solved this.

3. List at least 2 other ways you could have proved this. You do not have to prove these additional ways, but you may simply reference theorems we learned about this shape.

Use a graphing program, and graph the points for the first one.

To graph the quadrilateral with the given vertices C(-9,4), D(-4,8), E(2,6), and F(-3,2), we can first plot these points on a coordinate plane.

Now, let's plot the points on a graph:
- Point C is located at (-9,4)
- Point D is located at (-4,8)
- Point E is located at (2,6)
- Point F is located at (-3,2)

Once we have plotted these points on the graph, we can connect the points in order to form the quadrilateral.

To determine the specific shape of the quadrilateral, we can examine its sides and angles.

Now, let's analyze the sides and angles of the quadrilateral:
- Side CD is a line segment connecting points C and D.
- Side DE is a line segment connecting points D and E.
- Side EF is a line segment connecting points E and F.
- Side FC is a line segment connecting points F and C.

Based on the coordinates of the given points and the connections between them, we observe that the quadrilateral CDEF is a parallelogram.

Explanation of how to solve this:
1. Plot the given points C(-9,4), D(-4,8), E(2,6), and F(-3,2) on a coordinate plane.
2. Connect the points in order to form the quadrilateral.
3. Analyze the sides and angles of the quadrilateral.
4. Determine the shape of the quadrilateral based on the observations made in step 3.

Additional ways to prove the shape of the quadrilateral:
1. Use the distance formula to calculate the lengths of the sides of the quadrilateral. If the opposite sides are equal in length, it would indicate that the quadrilateral is a parallelogram.
2. Use the slope formula to calculate the slopes of the sides of the quadrilateral. If opposite sides have the same slope, it would indicate that the quadrilateral is a parallelogram.