What is the contrapositive?

If Grace does not sleep, then she is not tired.

If Grace is not tired, then she does not sleep.

If Grace sleeps, then she is tired.

Grace never sleeps anyways. So its all moot.

What is the contrapositive to this?

If the food is not cooked, then it is not in the oven.

If the food is not in the oven, then it is not cooked.

If the food is cooked, then its in the oven.

If food is not in the oven, then its cooked.

Is the inverse of this true?

Its true. If two angles are not supplementary, then they do not add up to 180 degrees.

Its false. If angles don't add up to 180, they can still be supplementary.

Its false. Supplementary angles add up to 90 degrees.

Its true. Supplementary angles can add up to less than 180 degrees.

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion? If it is snowing heavily, then school will be canceled. If school is canceled, the big test will not be given today. It is snowing heavily, then...

The big test will not be given today.

Look out for the snowplows while driving to school.

The roads will be hard to drive on.

You should call the school to see if school is canceled.

Which is a valid conclusion from these statements? If a quadrilateral is a rhombus, then it is a parallelogram. If a quadrilateral is a parallelogram, then its opposite angles are congruent.

Opposite angles of a rhombus are congruent

Opposite angles of a quadrilateral are congruent

Every quadrilateral is a rhombus

Every parallelogram is a rhombus

Which statement is a valid conclusion based on the argument? If a polygon is a regular pentagon, then the polygon has exactly five congruent angles. The polygon is a regular pentagon.

Therefore, the polygon has exactly five congruent angles.

Therefore, the polygon is a rectangle.

Therefore, the polygon is a regular quadrilateral.

Therefore, the polygon has congruent sides.

Use Law of Syllogism to make a conclusion. If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.

If a number is divisible by 10, then it is even,

If a number is even, then it is divisible by 10.

If a number is divisible by 2, then it is even.

If a number is even, then it is divisible by 2.

Logic and Reasoning Quiz

Authored by Sarah Eddington

Mathematics

9th - 10th Grade

CCSS covered

Used 5+ times

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MULTIPLE CHOICE QUESTION

30 sec • 2 pts

What is the hypothesis of the given Conditional Statement?

Jimmy will go to Orlando

Jimmy goes on vacation

Jimmy will go to Orlando

Who is Jimmy?

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

True -- Parallel lines will not intersect if they are parallel.

False.

What are parallel lines?

Tags

CCSS.6.G.A.3

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Logic and Reasoning Quiz

What is the hypothesis of the given Conditional Statement?

Is this statement true?

What is the conclusion to the statement?

What is the converse to this statement?

What is the inverse to this statement?

What is the converse to this?

Is the converse to this true?

What is the contrapositive?

What is the contrapositive to this?

When taking the converse we ___________ the hypothesis and conculsion

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