Geometry
Review Chapter 3
Name _________________________________________
Use the picture at the right for Questions #1 – 8.
True or False.
1.
 1 and  9 are vertical angles. ________
2.
 8 and  15 are alternate interior angles. _________
3.
 2 and  4 are same side interior angles. __________
4.
 2 and  13 are alternate interior angles. _________
5.
 15 and  12 are alternate exterior angles. _______
6.
 9 and  7 are corresponding angles. ________
7.
 1 and  11 are corresponding angles. ________
d
c
a a
b
8. Fill in the blanks. Still use the picture at the right.
Given:  1   10
Therefore, line _________ is parallel to line __________ by ________________________________________ theorem.
Find m  1 and then m  2.
9.
10.
 1 = ________  2 = __________
 1 = ________  2 = __________
11.
12.
 1 = ________  2 = __________
 1 = ________  2 = __________
Find the value of x for which l || m.
13.
14.
x = ___________
x = ___________
Find the value of each variable.
15.
16.
x = ___________
y = ___________
x = ___________
z = ___________
17. Construct a line parallel to line k through point A.
18. Construct a line perpendicular to line k through point A.
Find the value of each variable.
19.
20.
x = ________
y = ________
z = _________
x = _______
y = ________
21. Find the sum of the interior angles of a 21-gon. Show your work.
22. Find them measure of an interior angle and an exterior angle of a regular 24-gon.
Interior = ________
Exterior = __________
Tell if the lines are parallel, perpendicular or neither. (Hint – don’t forget to get equations into slope-intercept form.)
23.
y=x+3
x+y=3
24.
y = 3x + 4
y – 1 = 3x
25.
y=x+5
y = -5x - 1
Write the equation of the line in any form.
26. slope = -1; P(2, -5)
27. A(3, 8) and B(1, -6)
28. Write an equation of a line that is parallel to
y = 2x – 1 and goes through point (-4, 3).
29. Write an equation of a line that is perpendicular to
y = 31 x + 2 and goes through point (6, 4).
30. Graph the line.
31. Find the x and y intercepts. Then graph.
y=
1
3
x+2
3x + y = 6
8
8
6
6
4
4
2
2
-8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8
-8 -7 -6 -5 -4 -3 -2 -1
-2
-2
-4
-4
-6
-6
-8
-8
1 2 3 4 5 6 7 8
32. True or False.
Given the points: A(-1, 3); B(4, 8); C(-6, 0); D(2, 8), line AB is parallel to CD. ________________