
Reasoning and Proof Unit Test Review
Authored by LaMecha James
Mathematics
9th - 10th Grade
CCSS covered
Used 28+ times

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14 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
A statement that can be expressed in if-then form is a ...
Converse
Conditional
Biconditional
Counterexample
Answer explanation
2.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
Which choice shows a true conditional with a correctly identified hypothesis and conclusion?
If next month is January, then this month is the last of the year.
Hypothesis: This month is the last of the year.
Conclusion: Next month is January.
If next month is January, then this month is the last of the year.
Hypothesis: Next month is January.
Conclusion: This month is the last of the year.
Answer explanation
3.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
Is the following definition of complementary reversible? If yes, write it as a true biconditional.
Complementary angles are two angles whose sum measures to 90°.
Yes, angles are complementary if their sum measures to 90°.
Yes, angles are complementary if (and only if) their sum measures to 90°.
Yes, if angles are complementary, then their sum measures to 90°.
The statement is not reversible.
Answer explanation
A biconditional statement is a combination of a conditional statement and its converse written in the if and only if form.
Example: Two line segments are congruent if and only if they are of equal length.
Tags
CCSS.7.G.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
Which biconditional is not a good definition?
Two angles are supplementary if and only if the sum of their angles measures 180.
Two angles are vertical angles only if they are not adjacent to each other and are formed by two intersecting lines.
Two angles form a linear pair if and only if the angles are adjacent.
The sum of two angles is 90 if and only if those two angles are complementary.
Answer explanation
These two angles are adjacent, however they are not a linear pair.
Tags
CCSS.7.G.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
Transitive Property
Symmetric Property
Reflexive Property
Answer explanation
Tags
CCSS.8.G.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
The converse of a statement is formed by switching the hypothesis and the conclusion.
What is the converse of "If two angles are congruent, then they have the same measure"?
"If two angles are not congruent, then they do not have the same measure."
"If two angles do not have the same measure, then they are not congruent."
“If two angles have the same measure, then they are congruent."
Tags
CCSS.8.G.A.2
7.
OPEN ENDED QUESTION
3 mins • 5 pts
A counterexample is a specific case which shows that a general statement is false.
Give a counterexample for the following statement: All numbers that end in 1 are prime numbers.
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