logic and triangle inequality

Answer with the choice that best describes the form of the given conditional.

Given - If ice melts, then it is above freezing.

What is ....... If it is above freezing, then ice melts.

• Inverse

• Converse

• Contrapositive

• None of the above

Answer with the choice that best describes the form of the given conditional.

Given - If ice melts, then it is above freezing.

What is ....... If ice does not melt, then it is not above freezing.

• Inverse

• Converse

• Contrapositive

• None of the above

Answer with the choice that best describes the form of the given conditional.

Given - If ice melts, then it is above freezing.

What is ....... If ice does not melt, then it is above freezing.

• Inverse

• Converse

• Contrapositive

• None of the above

Answer with the choice that best describes the form of the given conditional.

Given - If ice melts, then it is above freezing.

What is ....... If it is not above freezing, then ice does not melt.

• Inverse

• Converse

• Contrapositive

• None of the above

Answer with Always, Sometimes, or Never

If a conditional statement is true, then its inverse is ________true.

• Always

• Sometimes

• Never

Answer with Always, Sometimes, or Never

The first step in an indirect proof is _______to assume temporarily that the hypothesis is not true.

• Always

• Sometimes

• Never

Answer with Always, Sometimes, or Never

The measure of an exterior angle of a triangle is _____ greater than the measure of either remote interior angle

• Always

• Sometimes

• Never

Tags

CCSS.8.G.A.5

Answer with Always, Sometimes, or Never

The converse and the inverse of a conditional statement are ______logically equivalent

• Always

• Sometimes

• Never

Answer with Always, Sometimes, or Never

The altitude to the base of an isosceles triangle is _____ longer than the base.

• Always

• Sometimes

• Never

Tags

CCSS.HSG.CO.C.10

Answer with Always, Sometimes, or Never

The altitude to the base of an isosceles triangle is _____ longer than the leg of the triangle.

• Always

• Sometimes

• Never

Tags

CCSS.HSG.CO.C.10