Geometric Reasoning

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). For example, "If it rains, then the ground is wet."

Front

What is the conclusion in the statement: "If angles are congruent, then the measures of the angles are equal."?

Back

The measures of the angles are equal.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement is formed by negating both the hypothesis and conclusion and reversing them. For example, the contrapositive of "If P, then Q" is "If not Q, then not P."

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement is formed by reversing the hypothesis and conclusion. For example, the converse of "If P, then Q" is "If Q, then P."

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement is formed by negating both the hypothesis and conclusion. For example, the inverse of "If P, then Q" is "If not P, then not Q."

Front

What property is used to solve the equation 4x = 72?

Back

Division Property of Equality.

Front

What does it mean if two angles are congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the definition of a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, typically expressed as "P if and only if Q."

Front

What is the difference between a theorem and a postulate?

Back

A theorem is a statement that has been proven based on previously established statements, while a postulate is a statement accepted without proof.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.