Download Name_________________ Date___________ Geometry Chapter 3

Name_________________
Date___________
Geometry
Chapter 3 Review
For numbers 1 – 3 use the figure below.
1.) Identify a pair of skew segments.
2.) Identify a pair of perpendicular segments.
3.) Identify a pair of parallel line segments.
4.) True or false . Perpendicular lines cannot be skew lines.
5.) True or False. Perpendicular lines intersect.
For numbers 6 – 11 use the figure below to give the name for each pair of angles.
6.) and  

and 





and  

and 





and 

and 

12. Given r  s, use the figure below to find the measure of each angle.

A.) m
B.) m
Cm
13.) Name the shortest segment
from C to AB.
14.) Write and solve an inequality for x
15.)
Find the slope of JK through J(1, 1) and K(2, 3).
For numbers 16 – 18 use the given information to write the equation for the line in point slope form.
16.) Through the point (3, 4) with
17.) Through the points (-6, 1) and (-2, 9)
Slope -2/3
18.) Through the points (5, -2) and (-3, -3)
19.) Write the equation for the line through the points (2, 7) and (4, 1) in slope intercept form.
For numbers 20 – 24 use the given information to find the slope of each line and determine if the lines
are parallel, perpendicular, coinciding or intersecting but not perpendicular.
20.) y = -3x + 4 and y = -3x – 8
21.) Line through the points (1, 4) and (-1, -2,)
And line through (4, 3) and (1, 4)
22.) y – 4 = 2( x + 10) and y – 2 = 2(x + 11)
23.) 4x – y = 3 and 2x + 3y = 9
24.) y = 2x – 1 and x + 2y = 5
25.) Line through the points (11, 5) and (13, -1,)
And line through (-4, 5) and (-3, 2)
26.) Find the measure of QRS and state the postulate or theorem that justifies your answer.
27.) Given that r is parallel to s and s is parallel to t find the value of x and y.
28) If the slope of a line is 0, which type of line is it and what is true about the y-coordinates of all points
on the line?
29.) If line r through (1, 1) and (5, 7) is parallel to line s through (4, 2) and (x, y), what are possible
values for x and y?
30.) Use the partially completed two-column proof for Exercises 12 and 13.
Given: AD  BE and BCF  FCD.
Prove: BE || CF
Proof:
Statements
Reasons
1. AD  BE
1. Given
2. BCF  FCD
2. Given
3. CF  AD
3.
________
___
4. BE || CF
4.
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31. Use the given figure and find the measure of each angle.
A.)
B.)
Graph the lines below.
32.) y = 3x – 1
34.) y – 2 = ½(x + 3)