Download Review Chapter 3 Part 1

Name: __________________________
Period: _____
Review Geometry PAP Chapter 3 Part 1 - Do On Separate Sheet!
Complete the statement using the figure at the right.
1.
1 and _______ are corresponding angles.
2.
3 and ________ are alternate interior angles
3.
4 and ________ are consecutive interior angles.
4.
7 and ________ are alternate exterior angles.
5. List a 3 pairs of pair of vertical angles; ____________, ______________, and _________________.
6. List 2 sets of a linear pair; _______________________ and ______________________.
Think of each segment in the diagram of a rectangular box as a part of a line. Which line(s) or plane(s) contain point N
and appear to fit the description?
7.
Line(s) perpendicular to QR .
8. Line(s) parallel to QR .
9. Line(s) skew to QR .
10. Plane(s) parallel to plane LMQ .
Use the diagram at the right to complete the statements.
11. If 1  7 , then ________ is parallel to _________.
12. If 3  5 , then ________ is parallel to _________.
4
5 6
8
7
13. If 3 is supplementary to 6 , then ______ is parallel to _______.
14. If b c , then 4  _________.
1
3
2
a
c
b
15. If b c , then 2  _________.
16. If b c , then 4 is supplementary to _________.
Use the following diagram for 15-18. allb , gllh .


g
17. If m1  x 2  2 x  and m12   5x  18  ,find m15.


18. If m13  x  7 x  and m12  100  4 x   ,find m3.

2
a
1 2
3 4
h
16 15
13 14

19. If m8  5 x 2  4  and m14  16  11x   ,find m4.
20. If m4   4 x  24   and m11   8x  48  ,find m8.
Find the distance between 2 points, make sure to simplify the radical.
21. A(2, 4) and B  1, 2 
22. C(5, 3) and D  9, 5
23. E  0, 5 and F  4, 2 
b
5 6
7 8
12 11
9 10
Name: __________________________
Find the midpoint of the following points, list the midpoint with the letter M.
Period: _____
24. A(2, 4) and B  1, 2 
25. C(5, 3) and D  9, 5
26. E  0, 5 and F  4, 2 
Solve the following systems, show all work and record answer as an ordered pair.
7 p  5q  2
8 p  9q  17
3b  2a  2
2b  a  8
27. 
28. 
Write the converse, inverse, and contrapositive of the following conditional statement. Make sure to label which is each
statement.
29. If I copy the homework, then I will fail the class.
___________: ______________________________________________________________________________________
___________: ______________________________________________________________________________________
___________: ______________________________________________________________________________________
Use the law of Detachment to write a conclusion.
30. If the measure of two angles have a sum of 90 , then the angles are complementary. mA  mB  90
______________________________________________________________________________________
31. If the football team wins on Friday night, then practice is canceled for Monday. The football team won by 7
points on Friday night.
______________________________________________________________________________________
Use the law of Syllogism to make a conclusion.
32. If you like the movie, then you saw a good movie. If you saw a good movie, then you enjoyed yourself.
______________________________________________________________________________________
33. If two lines are not parallel, then they intersect. If two lines intersect, then they intersect at a point.
______________________________________________________________________________________
Complete the following proofs:
35. Given: l || m; 3  4
Prove: 2  4
34. Given: m3 = 105°, m7 = 105°
Prove:l || n
5 steps
l
l
7
1
2
n
3
m
3
4
7 steps