Geometry and Honors Geometry                                                       Name _________________________
Graphing and Area: 3 and 4-Sided Figures                                   Date _______________ Period_____

  1. Graph and label the points below onto the grid.  Using a straight edge, connect the points with line
    segments in alphabetical order.  Do not connect points separated by the word “STOP.”
  2. Using a straight edge and the points on your grid, draw the line segments below.
  3.   ___   ___   __   ___   __
      AD   EH   IL   PS   TV



    When you are finished, you should have five geometric figures.
  4. In two different colors, draw and label the altitude (h) and the base (b) or bases (b1and b2) perpendicular
    to it on each figure. Find these measures and write them on the figure.
  5. Find the area of each figure.  Write the correct area formula and show your work.

Figure 1
A (-4, -4)
B (6, -4)
C (2, 2)
D (-4, 2)
  STOP

Figure 2
E (3, -9)
F (10, -9)
G (6, -13)
H (-1, -13)
  STOP

Figure 3
I (-13, 8)
J (-11, 0)
K (-8, 0)
L (-6, 8)
  STOP

Figure 4
P (-12, -4)
Q (-7, -7)
R (-7, -13)
S (-12, -10)
  STOP

Figure 5
T (0, 6)
U (8, 13)
V (11, 6)
  STOP
xyaxes
  1. Challenge: Is it possible to use the formula for the area of a trapezoid on a parallelogram and still get the
    correct answer? Why or why not? (Hint: Try it on the shapes above).
  2. Challenge: Is it possible to use the formula for the area of a trapezoid on a triangle and still get the
    correct answer? Why or why not?