Name __________________________________
Block ________ Due Date ________________
Geometry - Problem Set #3
MUST SHOW WORK for credit
1) The coordinates of the midpoint of QR are (-1, 0), 2) Given the points A  4, 4 ; B 1, 6 ; C  1, 3 , is
and the coordinates of Q are (-3, -4).
AB  BC ? Demonstrate through your work.
What are the coordinates of R? (hint: sketch a graph)
R
,

3) If lines a, b, l, and m are cut by a transversal to form the
angles shown, which lines must be parallel? Which theorem
or postulate supports your answer?
Answer: ___________
4. Given:
mABD  ( x  10)
mDBC  (3x  1)
mABC  55
A
D
a. Find the value of x_________
Lines ______ and _______ are parallel by the
______________________________Theorem/Postulate.
b. What is the measure of ABD?________
c. Is BD an angle bisector?____________
5) Find the values of x and y.
6) Find the values of x and y.
x = _______
x = _______
y = _______
y = _______
Simplify the following radical expressions (no decimals; simplest radical form)
7) 147
9) 162
8) 294n3
Factor the following expressions completely
10) 5 x 2  50 x  120
11) 6 x 2  11x  4
Solve the following equations by factoring. Give answers as simplified fractions (no decimals). Find all
possible solutions. Make sure to show all work.
14) x 2  4 x  32
15) x3  3 x 2  4 x  0
16) 16 x 2  1  0
17) 12 x 2  5 x  2  0
18) Solve the equation for y
19) Given 2 points on a line, write the equation of the line.
 4,5 ,  2, 3
3x  2 y  19