If-then Statement

Which phrase is the conclusion of the given statement “If you like hockey, then you go to the hockey game”.

• you like hockey

• If you like hockey

• you go to the hockey game

• If you go to the hockey game

Which of the following is an if – then form of the given statement “A triangle is a polygon”?

• If a shape is a polygon, then it is a triangle.

• If a shape is a triangle, then it is a polygon.

• If a shape is a polygon, then it is not a triangle.

• If a shape is a triangle, then it is not a polygon.

How to transform the statement “A figure has four sides if and only if it is a quadrilateral” into if – then statement.

• If quadrilateral is a figure, then it has four sides.

• If a figure has four sides, then it is a quadrilateral.

• If a quadrilateral has four sides, then it is a figure.

• If a figure is a quadrilateral, then it has four sides.

What is the inverse of the statement,” If the number is divisible by 2 and 3, then it is divisible by 6”.

• If the number is divisible by 6, then it is divisible by 2 and 3.

• If the number is divisible by 2 and 3, then it is not divisible by 6

• If the number is not divisible by 2 and 3, then it is not divisible by 6

• If the number is not divisible by 6, then it is not divisible by 2 and 3.

Determine the if-then form of the statement: "Parallel lines never intersect”, is:

• If two lines intersect, then they are parallel

• If two lines intersect, then they are not parallel

• If two lines are not parallel then they intersect.

• If two lines are parallel, then they never intersect.

What is the contrapositive of the statement “an even number is divisible by two”?

• . If a number is even, then it is divisible by two.

• If a number divisible by two, then it is even.

• If a number is not divisible by two, then it is not even.

• If a number is not even, then it is not divisible by two.

What is the inverse statement of the given “If angles are congruent, then the measures of the angles are equal”.

• If the measures of the angles are equal, then the angles are congruent

• If angles are not congruent, then the measures of the angles are not equal.”

• If the angles are not congruent, then the measures of the angles are equal.”

• If the measures of the angles are not equal, then the angles are not congruent”

What kind of reasoning used in the given statement “5, 10, 15, 20. The next number is 25”?

• Conclusion

• Hypothesis

• Deductive Reasoning

• Inductive Reasoning

Which of the following would make the best idea for a deductive argument?

• There are no asteroids.

• No one knows if an asteroid will collide with the earth.

• Scientists have proven asteroids will not hit the Earth.

• Those who believe asteroids will hit the Earth have overacting imaginations

What type of method of reasoning usually written in paragraph form and also called a proof of contradiction?

• Inductive

• Deductive

• Direct Proof

• Indirect Proof