Coordinate Geometry Review Sheet:
*** Go over slope notes, quadrilateral chart, and quadrilateral properties!!!
1) Find the distance, midpoint, and slope of the following points. What type of slope do they
have?
a) (-3,11) and (-5,8)
b) (6,12) and (9,12)
c) (4a,5b) and (2a,3b)
2) Find the value of x so that the slope of the line passing through the points (9,7) and (x,-3) will
be 1.
3) M is the midpoint of AB. A(-6,7) and M(12,14). Find the coordinates of point B.
4) Given: Triangle ABC with coordinate A(0,1), B(4,2), & C(0,5).
a) Graph and label triangle ABC.
b) Find D, the midpoint of AB.
c) Find E, the midpoint of BC.
d) Prove DE is parallel to AC.
e) Prove DE = 1/2(AC).
5) Given: Trapezoid ABCD with coordinates A(4,4), B(4,1), C(-2,1) & D(-1,4).
a) Graph and label trapezoid ABCD.
b) Find M, the midpoint of CD.
c) Find N, the midpoint of AB.
d) Prove MN is parallel to AD & BC.
e) Prove MN = 1/2(AD + BC).
6) Given: ΔABC with vertices A(0,0), B(2a,0) and C(a,b).
a) Find the coordinates of E, the midpoint of AC.
b) Find the coordinates of D, the midpoint of BC.
c) Prove: DE ‫ ׀׀‬AB
d) Prove: DE = ½ (AB)
7) In parallelogram ABCD, the measure of <B exceeds the measure of <A by 46º. Find the
measure of <B.
8) The lengths of the diagonals of a rectangle are represented by 7x centimeters and 5x + 12
centimeters. Find the length of each diagonal.
9) Rhombus ABCD has sides of AB = 2x + 1, DC = 3x – 11, and AD = x + 13. Find all sides of
the rhombus.
10) The diagonals of square ABCD intersect at point M. If AC = 3x + 2 and BD = 7x – 10, find
AC, BD, AM, and BM.
11) ABCD is an isosceles trapezoid with AB ‫ ׀׀‬DC, and AD  BC. If AD = 2y – 5 and BC = y +
3, find AD.
12) True or False:
a) A rectangle is a square.
b) An isosceles trapezoid is a quadrilateral.
c) A rhombus is a parallelogram.