UNIT 2: Reasoning and Proofs

Front

What is a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If P, then Q' is 'If Q, then P'.

Front

What are skew lines?

Back

Skew lines are lines that do not intersect and are not parallel.

Tags

CCSS.HSG.CO.A.1

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Front

What is a conjecture in mathematics?

Back

A conjecture is an educated guess or hypothesis based on observations.

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion is also true.

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'If P, then Q' and 'If Q, then R' are true, then 'If P, then R' is also true.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions.

Tags

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.11-12.1

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect.

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Front

What is a proof in mathematics?

Back

A proof is a logical argument that demonstrates the truth of a statement or theorem.