Geometry - Conditional Statements & Related Vocab (geo322)

"If an angle is right, then it measures 90 degrees."

What is the hypothesis?

• "an angle is right."

• "it measures 90 degrees."

• "If an angle is 90 degrees, then it's a right angle."

• "An angle is right iff it measures 90 degrees."

Tags

CCSS.7.G.B.5

"If an angle is right, then it measures 90 degrees."

What is the conclusion?

• "an angle is right."

• "it measures 90 degrees."

• "If an angle is 90 degrees, then it's a right angle."

• "An angle is right iff it measures 90 degrees."

Tags

CCSS.7.G.B.5

"If an angle is right, then it measures 90 degrees."

Is this statement TRUE or FALSE?

• True!

• False.

Tags

CCSS.4.G.A.1

"If an angle is right, then it measures 90 degrees."

What is the converse?

• "an angle is right."

• "it measures 90 degrees."

• "If an angle is 90 degrees, then it's a right angle."

• "An angle is right iff it measures 90 degrees."

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

"If an angle is right, then it measures 90 degrees."

Is the converse TRUE or FALSE?

• True!

• False.

Tags

CCSS.7.G.B.5

"If an angle is right, then it measures 90 degrees."

Can this be written as a biconditional statement?

• Yes!

• Nope.

Tags

CCSS.4.G.A.1

"If an angle is right, then it measures 90 degrees."

If possible, write this as a biconditional statement.

• This cannot be a biconditional.

• "If it is a right angle, then it's a right angle with 90 degrees."

• "Iff an angle is 90 degrees, it is a right angle."

• "An angle is right iff it measures 90 degrees."

Tags

CCSS.4.MD.C.6

"An angle is right."

Write the negation of the statement.

• "an angle is 90 degrees."

• "an angle is right."

• "an angle is not right."

• "an angle is not 90 degrees."

"If a shape is a nonagon, then it has 10 sides."

What is the hypothesis of this statement?

• "a shape is a nonagon."

• "it has 10 sides."

• "If a shape has 10 sides, then it is a nonagon."

• "A shape is a nonagon iff it has 10 sides."

"If a shape is a nonagon, then it has 10 sides."

What is the conclusion of this statement?

• "a shape is a nonagon."

• "it has 10 sides."

• "If a shape has 10 sides, then it is a nonagon."

• "A shape is a nonagon iff it has 10 sides."

Tags

CCSS.2.G.A.1