Logic, Proofs, Spherical Geometry Review

If an animal is furry, then it is a hamster. What would be an appropriate counter-example?

• goldfish

• frog

• elephant

• cat

Tags

CCSS.RI.11-12.2

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What is the REASON for Statement #2?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

Tags

CCSS.7.G.B.5

What is the REASON for Statement #3?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

Tags

CCSS.7.G.B.5

What is the REASON for Statement #4?

• Substitution Property
• Distributive Property
• Transitive Property
• Combine Like Terms

Tags

CCSS.HSA.REI.A.1

What is the REASON for Statement #5?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Tags

CCSS.7.G.B.5

What is the REASON for Statement #6?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Tags

CCSS.7.G.B.5

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.

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

What is the inverse of this statement?

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

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

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

• A rectangle is also a quadrilateral.

Tags

CCSS.HSG.CO.A.1

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

What is the contrapositive of this statement?

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

• 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.

• A rectangle is also a quadrilateral.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

• Conditional

• Conjecture

• Biconditional

Tags

CCSS.HSG.CO.A.1