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Transcript
SOL Review
• Print out Geometry 2014 SOL Test.
• Follow along with slides and complete SOL
questions when prompted.
• Follow up with further review questions in
class.
SOL Review Section 1 – Basics of
Geometry
Part 1: Venn Diagrams

Venn Diagrams

Practice
SOL Question
Part 2: Compass Constructions
Perpendicular Bisectors
• Perpendicular lines:
• Line Bisector:
Construct a Perpendicular Bisector
A
B
Practice
• Construct a perpendicular bisector.
A
B
SOL Question #2
Angle Bisector
• Angle Bisector:
Construct Angle Bisector
A
B
Practice
• Construct an angle bisector:
SOL Question #3

Construct a Congruent Angle
SOL Question #4
Identifying types of Compass
Constructions
• Angle Bisector:
• Perpendicular Bisector:
• Perpendicular line:
• Parallel line:
SOL Question #5
Part 3: Logical Reasoning
Symbolic Logic
• Hypothesis:
• Conclusion:
• If – then statement:
• Not:
• Therefore:
Practice
Let p represent:
Two angles are supplementary angles.
Let q represent:
The angles add up to 180o.
What is the symbolic representation of the following statement?
If two angles do not add up to 180o, then they are
not supplementary angles.
SOL Question #6
Conditional, Converse, Inverse, and
Contrapositive
Conditional:
Converse:
Inverse:
Contrapositive:
Practice
Conditional:
Converse:
If a polygon has three sides,
then the polygon is a triangle.
Inverse:
Contrapositive:
SOL Question #7

Law of Syllogism
• If p, then q.
If q, then r.
• Law of Syllogism:
SOL Question #8
Part 4: Transversals

Angles formed by Transversals
SOL Question #9
SOL Question #10

Proving lines Parallel
a
m
n
b
SOL Question #11

Calculating Angles
a
b
c
r
m
s
n
SOL Question #12
SOL Question #13
Part 5: Coordinate Geometry

Slope
• Slope:
• Ex:
SOL Question #14

Distance
• Distance:
• Ex:
SOL Question #15

Parallel Points
• Slope:
• Generating a new point:
SOL Question #16
Answers to SOL Questions
1)
Answers to SOL Questions
2) B
3) A
4) A
5) D
6) A
7) A
8) C
9) A
10) C
11) B
12) 43o
13) D
14) C
15) D
16) (2, -5)
or
(6, -7)