Reasoning Geometry

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• If a polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

Which of the following is the basis for inductive reasoning?

• definitions and accepted properties

• facts and rules

• laws of logic

• observed patterns

What do we call an unproven statement that is based on observations?

• counterexample

• conditional

• converse

• conjecture

For a conjecture to be true, it must be true...

• in most cases.

• in all cases.

• on Thursday mornings.

• at least once.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What is a counterexample?

• A generalism that cannot be applied to a specific case

• A specific case that help to prove a conjecture

• A general case that is supported by specific examples

• A specific case for which a conjecture is false

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.9-10.2D

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the conclusion to this?

• Clarkson will be the coolest
• Clarkson will not be the coolest
• Clarkson gives us Mountain Dew
• Clarkson will not give us Mountain Dew

Tags

CCSS.L.4.1C

CCSS.L.9-10.1B

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

If you do your homework, then you will receive snacks. What do you call the underlined portion in this conditional statement?

• conclusion

• abstract

• generalization

• hypothesis

Tags

CCSS.L.11-12.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.8.2D

CCSS.W.9-10.2D