Name: _______________________________________________ Date: ____________ Period: _____
Geometry Test # 1 Review
Use this review to check your knowledge and skills in each section that is covered by the test. Most of the
examples below are odd-numbered problems in the Geometry textbook, so you can check the answers for them in
the back of the book. (Selected Answers start at page 831.) Work the examples on a separate sheet of paper.
Students should be able to:
Examples:
1-1 Patterns and Inductive Reasoning
Pages 6-7 Exercises:

Use inductive reasoning to observe patterns, form
conjectures, and predict the next term in a sequence.
# 5, 11, 17, 24

Find a counterexample to disprove a conjecture.
# 25
2-1 Conditional Statements
A __________ is an if-then statement, where
the ___________ is the part following if and
the ___________ is the part following then.
It has a ______________ of true or false. In
symbols, the original conditional statement is
p  q and its ____________ is q  p.

Know the following definitions:
o Conditional
o Hypothesis
o Conclusion
o Truth value
o Converse

Identify the hypothesis and conclusion of a conditional.
Pages 83-84 Exercises:
# 1, 3

Write a statement in if-then form.
# 9, 11

Show a conditional is false by finding a counterexample.
# 15, 17

Write the converse of a conditional statement. Determine the
truth value of a conditional statement and of its converse.
# 27, 29

Given a Venn diagram, write the conditional statement that it
illustrates.
# 33, 35
2-2 Biconditionals and Definitions
Page 90 Exercises:

Given a conditional statement that is true, write its converse.
Determine if the converse is also true. If so, combine the
statements as a biconditional; if not, prove it is false by
giving a counterexample.
# 1, 3

Write the two statements that form a biconditional (the
conditional and converse).
# 7, 9

Evaluate whether a statement is a good definition by testing
to see if it is reversible (if its conditional statement and
converse are both true).
# 19, 21
2-3 Deductive Reasoning
Page 95:

Understand the Law of Detachment.
If __________ is a true statement and _____
is true, then _____ is true.

Understand the Law of Syllogism.
If __________ and __________ are true
statements, then __________ is a true
statement.

Use the Law of Detachment and the Law of Syllogism to
draw conclusions (if possible).
Pages 96-97 Exercises:
# 1, 3, 6, 11, 13, 15
2-4 Reasoning in Algebra


Apply the Properties of Equality:
o Addition Property
o Subtraction Property
o Multiplication Property
o Division Property
o Reflexive Property
o Symmetric Property
o Transitive Property
o Substitution Property
Apply the Distributive Property.
Apply the Properties of Congruence:
o Reflective Property
o Symmetric Property
o Transitive Property
Pages 103-105:
If a = b, then _________________________.
If a = b, then _________________________.
If a = b, then _________________________.
If a = b and c  0, then _________________.
a = ________________________________.
If a = b, then _________________________.
If a = b and b = c, then _________________.
If a = b, then _____ can replace _____ in any
expression.
a(b + c) = ___________________________
____________________________________
____________________________________
____________________________________

Justify (give the reason for) each step in solving an equation.
Page 105-107 Exercises:
# 3, 5, 7, 11, 12

Use given properties to complete statements.
# 22, 23
5-4 Inverses, Contrapositives, and Indirect Reasoning
Pages 280-281:

Know the following definitions:
o Negation
o Inverse
o Contrapositive
Conditional: If p, then q.
Negation: ____________________________
Inverse: _____________________________
Contrapositive: _______________________


Write the negation of a statement.
Write the inverse and the contrapositive of a conditional
statement.
Page 283 Exercises:
# 1, 3
# 7, 9
Review of Algebra I
 Add, subtract, multiply, and divide numbers without a calculator.
 Simplify expressions with fractions, exponents, square roots, etc.
 Solve one-variable equations.