Name:________________________
Midsegment Theorem/Coordinate Geometry
Date:_____ Period:____
Ms. Anderle
Midsegment Theorem/Coordinate Geometry Problems
Complete all work on a separate sheet of paper!
1. Given triangle ABC with vertices A(-3, 9), B(-5,-3), and C(7,-1).
a) Graph and label triangle ABC.
b) Find the coordinates of D, the midpoint of AB.
c) Find the coordinates of E, the midpoint of AC.
d) Prove DE = ½BC.
e) Prove that DE is parallel to BC.
2. Given trapezoid ABCD, with vertices A(3,0), B(0,5), C(10,5), and D(8,0).
a) Find the coordinates of M, the midpoint AB.
b) Find the coordinates of N, the midpoint of BC.
c) Find the distance of AD.
d) Find the distance of BC.
e) Find the distance of MN.
f) Prove MN is parallel to AD and BC.
g) Prove MN = 1/2(AD + BC).
3. Given: ΔABC with vertices A(-a,0), B(a,0) and C(-a,b)
a) Find the coordinate of E, the midpoint of AC
b) Find the coordinates of D, the midpoint of CB
c) Show that ED || AB
d) Show that ED = ½ AB
4. Given quadrilateral ABCD with vertices A(0, 0), B(a, 0), C(a, a), and D(0, a). Prove that
the figure is a rectangle.
Homework: Workbook page 165 #28 d (remember the properties of triangles), 30 and 32
(only need to prove that the diagonals bisect!)
There will be an EXAM on this material WEDESDAY (B and F) and THURSDAY (G).
I will hand back and we will review your Easter Break Assignment TOMORROW. That will
be your review for the exam. I WILL NOT GIVE AN ADDITIONAL REVIEW SHEET!