Name:_________________________
Easter Break Notes
Date:_____ Period:____
Ms. Anderle
Easter Break Notes:
Use the notes below to help you answer the questions for your assignment. It will
be graded and count as a quiz. There will be a test on the material upon your return
to school. Good luck and have a good break 
Triangle Midsegment Theorem
A midsegment of a triangle is a segment whose endpoints are the midpoints of two
sides of the triangle.
Triangle Midsegment Theorem: A midsegment of a triangle is parallel to one side of
the triangle, and its length is one-half the length of that side.
Example: If B and D are midpoints of AC and EC respectively, BD || AE and
BD = ½ AE
C
B
A
//
D
//
E
Strategy:
1) Carefully graph the triangle. Be sure to label your x and y axis.
2) Use the midpoint formula to calculate parts b and c.
3) Use the distance formula to calculate the lengths of two segments in
part d.
4) Use the slope formula to prove that the segments joining the two
midpoints of the sides of the triangle is parallel to the third side.
Midsegment of a Trapezoid:
The midsegment of a trapezoid is the segment that joins the midpoints of the two
nonparallel sides of a trapezoid. Use the same process use for finding the midsegment of a
triangle.
According to the midsegment theorem the midsegment of a trapezoid is…
a) Parallel to the bases
b) Half as long as the sum of the bases
Midsegment Literal Coordinates:
Complete these problems the same way that you would complete number problems
for the midsegment. The only difference here is that the coordinates will have
letters instead of numbers.
Literal Coordinate Proofs:
Complete these proofs the same way that you would complete a regular coordinate
geometry proof. Start off with a plan, then do the math, summarize the math, and
then write the therefore statement. It is same process!!! The only difference is
that letters will be used instead of numbers!!!
If there are any questions on the material in this packet, use your workbook as a
reference or e-mail me at janderle@sfponline.org
****There will probably be an exam 2-3 days upon your return to school****
The assignment is due 8:30 on MONDAY APRIL 20th. NO
LATE ASSIGNMENTS WILL BE ACCEPTED!!!! There will be
a box with my name on it outside the math office. You will
put the assignments there. Once again NO LATE
ASSIGNMENTS WILL BE ACCEPTED!!!!
Name:________________________
Easter Break Assignment
Date:_____ Period:____
Ms. Anderle
Easter Break Assignment
Complete all problems on a separate sheet of paper.
1. Given trapezoid ABCD, with vertices A(2,6), B(8,6), C(8,0), and D(0,0).
a) Find the coordinates of M, the midpoint of AD.
b) Find the coordinates of N, the midpoint of BC.
c) Find the distance of AB.
d) Find the distance of DC.
e) Find the distance of MN.
f) Prove MN is parallel to AB and CD.
g) Prove MN = ½(AB + CD).
2. Given triangle PQO with vertices P(4,10), Q(6,0), and O(0,0).
a) Graph and label triangle PQO.
b) Find the coordinates of R, the midpoint of OP.
c) Find the coordinates of S, the midpoint of QP.
d) Prove RS = ½ OQ.
e) Prove RS is parallel to OQ.
3. Given ΔELF with vertices E(0,0), L(2a,0) and F(2b,2c).
a. Find A, the midpoint of EF.
b. Find B, the midpoint of LF.
c. Show that AB = ½ EL
d. Show that AB || EL
4. Given the vertices of quadrilateral MATH are M(0,0), A(b,c), T(a + b,c), and
H(a,0). Prove that MATH is a parallelogram.
5. Prove that ΔABC is a right triangle if A(0,0), B(0,2b), and C(2a,0).
6. Given the vertices of quadrilateral TEAM are T(0,0), E(b,c) A(a – b, c), and
M(a,0), prove that TEAM is a trapezoid.