MATH 8_QUIZ 1_Q4

Identify the hypothesis and conclusion of the given conditional statement.

If a rhombus has a right angle, then it is a square.

• Hypothesis: It is a square.

  Conclusion: Rhombus has a right angle.

• Hypothesis: Rhombus has a right angle

  Conclusion: It is a square.

~p → ~q

• conditional
• converse
• inverse
• contrapositive

~q → ~p

• conditional
• converse
• inverse
• contrapositive

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

• If the polygon is not a quadrilateral, then it is not a trapezoid.

• If the polygon is not a trapezoid, then it is not a quadrilateral.

• If the polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

Write the following statement in if-then form.
All vertical angles are congruent.

• If two angles are vertical, then they are congruent.
• If two angles are congruent, then they are vertical.

"I do my homework,then I get my allowance."

What is the hypothesis?

• I get my allowance.

• I do my homework

• No answer

• All of the above

If you live in Montreal, then you live in Canada

What is the converse?

• you live in canada

• None of the above

• If you live in Canada, then you live in Montreal

• All of the above

A type of logical statement that has 2 parts, a hypothesis and conclusion is called a __________________________________.

• Conditional Statement
• Conjecture
• Counterexample
• Proof

A statement formed by interchanging the hypothesis and conclusion of a conditional statement is called the _________________

• Converse
• Inverse
• Contrapositive
• Negation

A statement formed by negating the hypothesis and conclusion of a conditional statement is called the ______________________

• Inverse
• Converse
• Contrapositive
• Negation