CHAPTER 3 REVIEW TOPICS
VOCABULARY
o Parallel lines
o Skew lines
o Transversal
o Corresponding Angles
o Alternate Interior Angles
o Same Side Interior Angles
o Alternate Exterior Angles
o Same Side Exterior Angles
o Triangle
o Scalene Triangle
o Isosceles Triangle
o Equilateral Triangle
o Acute Triangle
o Obtuse Triangle
o Right Triangle
o Equiangular Triangle
o Exterior Angle
o Remote Interior Angles
o Polygon
o Convex vs Concave
o Regular Polygon
o # of sides of polygon by name
Know the definition of these along with
their Postulate and theorem. Be able to state them
Ex: tetradecagon = 14 sides
PROPERTIES OF PARALLEL LINES
o Corresponding Angle Postulate
o Alternate Interior Angle Theorem
o Same Side Interior Angle Theorem
Alternate Exterior Angle Theorem
o Same Side Exterior Angle Theorem
o  Transversal Theorem
Know what order they were taught. It
matters when proving them. This is the
order they were taught.
PROVING LINES PARALLEL
o Converse of Corresponding Angle Postulate
o Converse of Alternate Interior Angle Theorem
o Converse of Same Side Interior Angle Theorem
o Converse of Alternate Exterior Angle Theorem
o Converse of Same Side Exterior Angle Theorem
o Converse of  Transversal Theorem
The word transversal implies coplanar
Theorem says “ In a Plane”
This is important wording
TRIANGLE THEOREMS AND COROLLARIES
o  Angle Sum Theorem
o  Exterior Angle Theorem
o If 2 angles of 1 triangle are congruent to 2 angles of
another triangle then the 3rd angles are congruent
o Each angle of an equiangular triangle has a measure of 60.
o A triangle can have at most 1 right or obtuse angle.
o The acute angles of a right triangle are complementary.
These are the Corollaries
ANGLES OF POLYGONS
o Interior Angle Sum Theorem 180(n  2)
o Exterior Angle Sum Theorem = 360
o Regular Polygons : Each Int. Angle
Each Ext. Angle
Regular Polygon
N sides
360
n
180 
360
n
Overall Example Problems:
Diagram to right:
o State corresponding, alt interior, s-s interior angles, exterior, interior, etc
o Name the type of angle: 1 and 6 ; 9 and 4 ; 1 and 7
8 and 9
3
8
1
2
Diagram to right and below:
Are the given lines, segments, and planes parallel, skew, intersecting
Or none?
1. AB and CD
2. AF and IJ
3. FL and ED
4. GL and KJ
5. Plane AFJI and ED
6
5
4
7
9
Find the measure of each angle.
5
7
6
2 110
1
8 30
4
3
105
More sample problems
Find the measure of each interior angle of a regular pentadecagon.
Each interior angle of a regular polygon is 130 . How many sides does it have?
Test Format
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Sometimes always never (13 pts)
Stating definitions, postulates, theorems. (15pts)
Short answers. (14 pts)
Given name of angles identify them in a diagram (12 pts)
Given 2 angles identify them by name ( 14pts)
Find the measures of angles and solve for x and y. (10pts)
Identify lines, segments and planes as parallel, skew, intersecting, or none.( 12pts)
Polygons and regular polygons: Interior/ exterior angles info. ( 10pts)
Proofs. ( 10 pts)
How and What to study.
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ALL the vocabulary. Definitions, postulates, and theorems. ( Inside out and upside
down, and sdrawkcab ).
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PROOFS Can you prove parallel theorems and their converses ?????
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Can you identify parallel, skew, and intersecting lines? Review example on page 75
#10-14
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Review the sometimes, always and never on pg 77 (#30-39), pg89(#1-5),
pg112(#1-6)
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Review homework problems, notes, and important examples.
Come on now……. Let’s get this done !!!!!!!