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Geometry
Chapter 3 Test Review
Name:________________________
Fill in the blank with PARALLEL, PERPENDICULAR, or NEITHER.
1. Line q is ____________________ to line r
2. Line p is ____________________ to line r
3. Line p is ____________________ to line q
4. Line p is ____________________ to line s
Consider each segment in the diagram at the right as part of a line.
5. Name three segments parallel to TZ . ____________________________
6. Name four segments that intersect TZ . __________________________
7. Name four segments skew to TZ . _______________________________
Find the value of the variable, given that f ⊥ g.
8.
9.
10.
In the diagram at the right, h ⊥ j and i ⊥ j. Determine whether enough information is given to
conclude that the statement is true. Write yes or no.
11. ∠10 is a right angle
12. ∠7 ≅ ∠8
13. ∠2 ≅ ∠3
14. ∠6 ≅ ∠7
State the following using the picture. Don’t forget to use angle symbols!
15. Two pairs of alternate interior angles
16. Two pairs of alternate exterior angles
17. Four pairs of corresponding angles
18. Four pairs of vertical angles
For #19-27, use the picture below. Choose the letter that shows the correct relationship
between the angle pairs.
r
s
m
l
A. alternate interior
19.  3 and  9 ____
20.  8 and  13 ______
21.  2 and  10 ____
22.  5 and  7 ______
23.  6 and  16 ____
24.  1 and  2 ______
25.  5 and  13 ____
26.  10 and  16 ______
B. same-side interior
C. alternate exterior
D. corresponding
E. vertical
F. linear pair
27.  13 and  15 ____
Describe the relationship between the pairs of angles by circling the word that makes the
sentence true.
28. If lines are parallel, then ….the alternate interior angles are: congruent supplementary
the corresponding angles are: congruent supplementary
the same side interior angles are: congruent supplementary
29. Vertical angles are always congruent
30. Linear pairs are always congruent
supplementary even if the lines are not parallel.
supplementary even if the lines are not parallel.
State the type of angles shown and find the measure of 1.
31.
32.
Type of Angles :____________
Type of Angles :____________
m ∠1: ________
m ∠1: ____________
33.
34.
Type of Angles: ___________ m ∠1: _______
Type of Angles: _____________ m ∠1: __________
Use the relationship between the angles to write an equation and solve for x.
35.
36.
Type of angles _______________________
Type of angles _______________________
Relationship: congruent or supplementary
Relationship: congruent or supplementary
Equation:
Equation:
x = ________
x = ________
37.
38.
Type of angles _______________________
Type of angles _______________________
Relationship: congruent or supplementary
Relationship: congruent or supplementary
Equation:
Equation:
x = ________
x = ________
39.
40.
Type of angles _______________________
Type of angles _______________________
Relationship: congruent or supplementary
Relationship: congruent or supplementary
Equation:
Equation:
x = _________
x = __________
Determine whether enough information is given to conclude that the lines are parallel. If so,
state the reason. Choices are:
 Alternate Interior Angles Converse (AIA)
 Same-Side Interior Angles Converse (SSI)
 Corresponding Angles Converse (CA)
 Alternate Exterior Angles Converse (AEA)
 Not enough proof that the lines are parallel.
41.
42.
43.
44.
45.
Find the value of the variable so that m // n.
46.
47.
48.
Find the value of the variable that makes ⃡𝑬𝑭 // ⃡𝑮𝑯.
49.
50.