gradeee 8

What is the equivalent statement using the if-then form of the following information? Given: 3x=15 Prove: x=5

• if 3x=15, then divide both sides by 3 to get x=5

• None of the above

• if 3x=15, then x=5

• if x=5, then 3x=15

When taking the converse of a statement we_____ the hypothesis and the conclusion.

• None of the above

• Switch and negate

• Switch

• Negate

When taking the inverse of a statement, we_______ the hypothesis and the conclusion.

• Switch

• Switch and negate

• Negate

• None of the above

The equivalent statement formed by negating the hypothesis and conclusion of the converse of a conditional statement is called the _________

• None of the above

• Converse

• Inverse

• Contrapositive

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

• 0

• 1

• None of the above

• -1

What statement requires proof before its acceptance as a true statement?

• theorem

• None of the above

• postulate

• corollary

What is the if-then form of the statement 'Every segment has exactly one midpoint'?

• If a midpoint exists, then it is a segment.

• If a segment has a midpoint, then it is a figure.

• None of the above

• If a figure is a segment, then it has exactly one midpoint.

In ∆PQR, which is the included side of ∠P and ∠Q?

• QR

• PR

• PQ

• None of the above

Which one states the congruence of the two triangles?

• ∆ABC≅∆EFD

• ∆ABC≅∆EFD

• ∆ABC≅∆FED

• None of the above

Which theorem or postulate can prove the congruence of the two triangles?

• AAS congruence

• None of the above

• ASA congruence

• SAS congruence