IMath 1 sem 2 Ch 10

What is the hypothesis of the given statement:

If pigs had wings, you could fly

• pigs have wings

• you can fly

• pigs do not have wings

• you cannot fly

which statement is the converse of the given statement: If you make an insurance claim, then your rates will go up

• If your insurance rates do not go up, then you have not made a claim.

• If you do not make an insurance claim, then your rates will not go up.

• If your insurance rates go up, then you have made an insurance claim.

• If you make an insurance claim, then your rates will not go up.

Which statement is the contrapositive of the given statement: If a person is a banjo player, then the person is a musician.

• If a person is not a musician, then the person is not a banjo player.

• If a person is not a banjo player, then the person is a musician

• If a person is not a banjo player, then the person is not a musician.

• If a person is a musician, then the person is a banjo player.

How are the two statements given below related to each other?

X: If you run for 10 minutes, then you will raise your heart rate.

Z: If you do not run for 10 minutes, then you will not raise your heart rate.

• Z is the contrapositive of X.

• Z is the converse of X.

• Z is the inverse of X

• Z is the retrograde of X

Conditional: If a triangle is scalene, then the triangle has no congruent sides. Which statement shows the conditional written as a true biconditional?

• A triangle is scalene if and only if it has no congruent sides.

• If a triangle has no congruent sides, then the triangle is scalene

• If a triangle has some congruent sides, then the triangle is not scalene.

• A triangle is equilateral if and only if it is not scalene.

Biconditional: A triangle is equilateral if and only if the triangle has three congruent angles.

• If a triangle has three sides, then it is equilateral. If the triangle is equilateral, then it has three sides.

• If a triangle is equilateral, then it has three congruent angles. If a triangle has three congruent angles, then it is equilateral.

• If a triangle is scalene, then the triangle is not equilateral. If a triangle is equilateral, then the triangle is not scalene.

• An equilateral triangle has symmetry. If a triangle has symmetry, it is equilateral.

Which statement is a valid conclusion based on the argument? If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.

The polygon is a regular pentagon.

• Therefore, the polygon is a rectangle.

• Therefore, the polygon is a regular quadrilateral.

• Therefore, the polygon has exactly five congruent angles.

• Therefore, the polygon has congruent sides.

. According to the Transitive Property of Equality, if TX = XY, and XY = YZ, then TX =

• TX

• XY

• YZ

• TZ

What property is illustrated by the statement, if KL = LM, then LM = KL?

• Reflexive Property of Equality

• Symmetric Property of Equality

• Transitive Property of Equality

• Division Property of Equality

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