Coordinate Geometry Review Sheet:
1) Find the distance between A(-7,9) and B(-6,13).
2) Find the midpoint of C(-5,7) and D(-11,0).
3) Find the slope of E(-7,9) and F(-6,3).
4) Find the slope of G(-6,7) and H(-4,7). What type of slope do you have and what type
of line do these two points form?
5) What is the area of the following figure: A(-3,2), B(-3,4), C(4,4), and D(4,2)?
6) What is the area of the following figure: A(1,1), B(6,2), and C(4,-3)?
7) Given: W(-1,-1), X(1,3), Y(5,3), and Z(7,-1).
a) Find M, the midpoint of WX.
b) Find N, the midpoint of YZ.
c) Prove MN = ½(XY + WZ).
d) Prove MN is parallel to XY and YZ.
8) Given: R(0,0), S(6,0), and T(0,8).
a) Find A, the midpoint of RT.
b) Find B, the midpoint of RS.
c) Prove AB = ½ST.
d) Prove AB is parallel to ST.
9) Prove that the following is a parallelogram: A(-2,1), B(-4,-2), C(3,-2), and D(5,1).
10) Prove that the following is a rhombus: R(1,1), S(5,3), T(7,7), and U(3,5).
11) In parallelogram ABCD, the measure of <A = (2x + 50) degrees and the measure of
<C = (3x + 40) degrees. What is the measure of <A?
Make sure you know:
1) Formulas (distance, midpoint, slope, area formulas)
2) Properties of Quadrilaterals
3) Ways to Prove Quadrilaterals