Download Chapter 3 Review Solutions - Anoka

Geometry
Chapter 3 Review
Name:_______________________
Hour:___________
1. According to the Perpendicular Postulate, if there is a line and a point not on the line, then how many
lines perpendicular to the given line can be drawn through the point?
l
p
2. According to the Parallel Postulate, if there is a line and a point not on the line, then how many parallels
to the given line can be drawn through the point?
l
p
Use the picture to answer the following questions. Lines j & k are parallel.
3. List a pair of Corresponding Angles.
4. List a pair of Alternate Interior Angles.
5. List a pair of Alternate Exterior Angles.
6. List a pair of Consecutive Interior Angles.
7. List a pair of Vertical Angles.
Use the picture to answer the following questions.
8. What plane is parallel with ADH?
C
B
9. What plane is parallel with BCD?
D
A
10.Identify the pair of lines as Perpendicular, Parallel or Skew.
AD & EH
CD & AE
G
F
CG & AE
EF & EH
E
11.What is the difference between parallel and skew lines? (Define each word.)
a. Parallel Lines are _______________.
b. Skew Lines are _______________.
H
C
12.Label the measure of each of the 8 angles in the
following picture if
A
AEG  83
13. Which lines are parallel under the given situation?
Give a reason for each statement.
a.
E
B
H
b.
Find the value of x, state the reason.
13.
14.
15.
16.
D
F
G
Find the value of each variable x:
17.
18.
19.
23.
Find the measure of all the missing angles if 𝑚∠1 = 63°.
24. m 2  _______
25. m 3  _______
26. m 4  _______
27. m 5  _______
28. m 6  _______
29. m 7  _______
30.Find the slope of the line that passes through (-1,3) and (-7,4) and find the slope of the line that passes
through (2 , 7) and (4 , 19). Are the lines parallel, perpendicular or neither?
Write the equation of the line given the following information.
1
31.  4, 3 ; m 
2
32.Find the equation of a line that passes through P  4, 5 and is parallel to y  6 x  7
33.Find the equation of a line that passes through P  1, 2  and is perpendicular to y  2 x  4
What is the slope of the lines parallel and perpendicular to the given line?
Equation
Parallel Slope
Perpendicular Slope
1
34. y  x  4
2
35. 2 x  3 y  9
36. 5 x  15 y  45
37. Describe the relationship between the two lines as parallel, perpendicular or neither.
Line #1: 3x  7 y  6
Line # 2 : 21x  9 y  3