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Unit 3 Review (Logic)

Authored by Adam Coyer

Mathematics

8th - 12th Grade

CCSS covered

Used 18+ times

Unit 3 Review (Logic)
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19 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Assume the statement "If P is between points Q and R, then PQ + QR = PR" is true. Which statement below represents its inverse?

If P is not between points Q and R, then PQ + QR \ne PR.

If PQ + QR = PR, then P is between points Q and R.

If PQ + QR \ne PR, then P is not between points Q and R.

None of the Others

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Assuming "If  C\angle C  and  D\angle D  are complementary angles, then  mC + mD = 90m\angle C\ +\ m\angle D\ =\ 90 " is true, which phrase below would be the conclusion if you wrote the contrapositive?

 C\angle C  and  D\angle D  are not complementary angles

 C\angle C  and  D\angle D  are complementary angles

 mC+mD=90°m\angle C+m\angle D=90\degree  

 mC+mD90°m\angle C+m\angle D\ne90\degree  

Tags

CCSS.7.G.B.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What's the best way to describe this argument?

The conclusion is valid, satisfying the Law of Detachment.

The conclusion is valid, satisfying the Law of Syllogism.

The conclusion is invalid, violating the Law of Detachment.

The conclusion is invalid, violating the Law of Syllogism.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What's the best way to describe this argument?

The conclusion is valid, satisfying the Law of Detachment.

The conclusion is valid, satisfying the Law of Syllogism.

The conclusion is invalid, violating the Law of Detachment.

The conclusion is invalid, violating the Law of Syllogism.

Tags

CCSS.HSG.CO.C.9

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Suppose  ND\overrightarrow{ND}  bisects  MNY\angle MNY  .Which statement below is not logically true?

 mMND=mDNYm\angle MND=m\angle DNY  

 mMNY=2(mDNY)m\angle MNY=2\left(m\angle DNY\right)  

 mMNY=mMND+mDNYm\angle MNY=m\angle MND+m\angle DNY  

 mDNY=12(mMND)m\angle DNY=\frac{1}{2}\left(m\angle MND\right)  

Tags

CCSS.HSG.CO.C.9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If  AB\angle A\cong\angle B   and  BC\angle B\cong\angle C   then  AC\angle A\cong\angle C  is a statement that satisfies what property?

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

"If  X\angle X  and  Y\angle Y  form a linear pair, then they are supplementary angles" is an example of what property?

Definition of Supplementary Angles

Definition of a Linear Pair

Supplements Theorem

Congruent Supplements Theorem

Tags

CCSS.7.G.B.5

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