STUDY GUIDE for GEOMETRY Chapter 3 Test: Parallel and Perpendicular Lines
(Monday, October 14 and Tuesday, October 15, 2013)
Section
Topic
3.1
3.2
3.3
3.4
3.5
1.7, 3.8
Properties of Parallel Lines
Proving Lines Parallel
Parallel and Perpendicular Lines
Parallel Lines and the Triangle Angle-Sum Theorem
The Polygon Angle-Sum Theorem
Basic Constructions;
Constructing Parallel and Perpendicular Lines
Patterns and Inductive Reasoning
Points, Lines, and Planes and
Segments, Rays, Parallel Lines and Planes
Conditional Statements,
Biconditionals and Definitions
Deductive Reasoning
1.1
1.3, 1.4
2.1, 2.2
2.3
Number of
Problems
2
3
2
3
3
2
Standards
7.0
2.0, 4.0, 7.0
7.0
12.0, 13.0
12.0, 13.0
16.0
1
1
1.0, 3.0
1.0
1
3.0
2
1.0, 3.0
STANDARDS TO KNOW
1.0*
Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and
deductive reasoning.
2.0* Write geometric proofs, including proofs by contradiction.
3.0* Construct and judge the validity of a logical argument and give counterexamples to disprove a statement.
4.0* Prove basic theorems involving congruence and similarity.
7.0* Prove and use theorems involving the properties of parallel lines cut by a transversal.
12.0* Find and use measures of sides and of interior and exterior angles of triangles to classify figures and solve problems.
13.0 Prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior
angles.
16.0* Perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line
parallel to a given line through a point off the line.