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Geometry
Name: _________________________
Date: _______________ Per.: ______
MIDTERM EXAM: Chapter 2 Review
Key Concepts & Skills
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Write statements in if-then format; identify the hypothesis and conclusion
Write the converse, inverse, and contrapositive of a conditional statement.
Give a counterexample to disprove a statement.
Rewrite a bi-conditional statement as a conditional and its converse
Identify whether reasoning used is inductive or deductive
Find next items in a pattern
Use the Laws of Detachment and Syllogism to draw a conclusion from given statement(s)
Identify the algebraic property illustrated by a statement.
Solve equations and state a reason for each step.
Write two-column proofs proving statements about segments and angles.
Key Points
Conditional
Inverse
Converse
Contrapositive
if – then
negate conditional
switch conditional’s “if” and “then”
negate converse
pq
~p  ~q
qp
~q  ~p
Inductive reasoning: patterns, observation, experience
Deductive reasoning: fact-based
Law of Detachment
Given p  q
Hypothesis happens
Conclusion occurs
Law of Syllogism
If p  q and q  r, then p  r (similar in logic to transitive property)
MD/1-08/Ch. 2 MT Review
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Geometry
Problems
I. Conditional Statements
Write the statement in if-then form. Determine the hypothesis and conclusion, and write the inverse,
converse, and contrapositive.
The game will start at 4:00 if the other team arrives within five minutes.
II. Biconditional Statements
Write the biconditional statement as a conditional and its converse.
A number is divisible by 10 if and only if it ends in 0.
III. Solve for the variable using the given information.
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B)
IV. Proving Statements about Segments and Angles
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2)
MD/1-08/Ch. 2 MT Review
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Geometry
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IV. Algebraic Properties
Match the statement with the property.
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V. Solve for x
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2)
MD/1-08/Ch. 2 MT Review
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