Geometry Exam 3
Name:____________________________________
For problems 1-6, Circle the correct response using the diagram at the right..
1. Two corresponding angles:
a) 14 and 3
b) 12 and 10 c) 1 and 6 d) 16 and 12
2. Two alternate exterior angles :
a) 14 and 3
b) 12 and
10 c) 1 and 6 d) 16 and 12
3. What type of angle pair are 7 and 10 ?:
a) alternate interior angles b)alternate exterior angles c) same-side interior angles
d) corresponding angles
4. If c || d, then
6  12 by what theorem?___________________________________________
5. If m11  m10  180 , then line _____ is parallel to line _______ by the
_________________________________ Theorem.
6. If
11  3 , then line ____ is parallel to line _____by the _________________________________Theorem.
For problems 7-9, use the diagram to find and state theorem or postulate that justifies your answer.
.
8.
9.
7.
10.
a)
Given: s ||t
m  1 = ________
m  1 = ____________
m  2 = _________
m  2= _____________
Find the value of x for which a || t.
b)
x = ____________________
11. Find the value of the variable x.
a)
x = ________________
m  1 = _________
m  2= _____________
x = ________________________
b)
x = __________
12. For the following constructions, show all compass marks.
a) Construct the line parallel to m through Q.
b) Construct a line perpendicular to line s, through the point P.
In problems 13-15, find the values of the variables.
13.
14.
15.
x = __________________
x = __________________
x = _______________
y = __________________
y = ___________________
y = _______________
z = ____________________
z = _______________
16. What is the interior angle sum of a convex 35-gon?
17. What is the interior angle sum of this polygon?
18. Determine the angle measure of each interior and exterior angle for a convex regular decagon.
Each Interior angle measure = ____________________ Each exterior angle measure = _________________
Determine whether the following pairs of lines are parallel, perpendicular, or neither.
19.
y  x3
2
x 1
3
2
y   x4
3
21. y  
20. 2 y  10 x  1
y  x  3
y  10 x  1
For questions 21-23, write the equation of each line described below.
22. The line has slope of 6 and contains
.
23. The line is perpendicular to
and contains
24. The line passes through (6, 4) and
.
.
Using intercepts, graph each of the following.
25. 4 x  y  8
Find the slope of
neither. Explain.
26.
and
. Then determine whether
27. L(10,2), M(6,-6), Q(10, 6), R(9, 4)
Slope LM= ________ Slope QR=________
Parallel/Perpendicular or neither _______________
Explain ___________________________________
2
y   x5
3
and
are parallel, perpendicular, or
28. L(-3,8), M(2,-7), Q(16,14), R(4,10)
slope LM = _________slope QR=_________
Parallel/Perpendicular or neither _______________
Explain __________________________________