SCCS Geometry Logic Practice

Front

What is a contrapositive in logic?

Back

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

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has the form 'If P, then Q,' where P is the hypothesis and Q is the conclusion.

Front

What does it mean for two angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Tags

CCSS.7.G.B.5

Front

What is the Angle Bisector Definition?

Back

The Angle Bisector Definition states that an angle bisector divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

How do you identify the conclusion in a conditional statement?

Back

The conclusion in a conditional statement is the part that follows the 'then' in 'If P, then Q.'

Tags

CCSS.RL.8.1

CCSS.RI.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RI.7.1

Front

What is the logical form of a statement?

Back

The logical form of a statement refers to its structure, which can often be expressed in terms of variables and logical connectives.

Front

What is the difference between a hypothesis and a conclusion in a conditional statement?

Back

The hypothesis is the 'if' part of the statement, while the conclusion is the 'then' part.

Front

What is an example of a contrapositive statement?

Back

For the statement 'If it rains, then the ground is wet,' the contrapositive is 'If the ground is not wet, then it did not rain.'

Front

What is the purpose of unscrambling a logic chain?

Back

Unscrambling a logic chain helps to clarify the sequence of logical statements and their relationships, leading to a valid conclusion.

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.7.1

Front

What is a biconditional statement?

Back

A biconditional statement is a logical statement that combines two conditional statements, expressed as 'P if and only if Q.'