Mrs. Kim's Conditional Statements

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (p) and a conclusion (q), typically expressed in the form "If p, then q."

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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 is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as "p if and only if q" (p ↔ q).

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement "If p, then q" is "If not q, then not p" (¬q → ¬p).

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement "If p, then q" is "If not p, then not q" (¬p → ¬q).

Front

What is the negation of a statement?

Back

The negation of a statement is the opposite of the statement. For example, the negation of "It is raining" is "It is not raining."

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.4.1C

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure in degrees.

Tags

CCSS.8.G.A.2

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows the 'then.' In "If p, then q," q is the conclusion.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows the 'if.' In "If p, then q," p is the hypothesis.

Front

How do you identify the hypothesis and conclusion in a statement?

Back

In a statement of the form "If p, then q," p is the hypothesis and q is the conclusion.