2.1 Worksheet

For #1-3, rewrite the conditional statement in if-then form.

1

When x = 6, then x^{2} = 36.

1

The measure of a straight angle is 180.

1

Only people who are registered are allowed to vote.

1

In the following if-then statement, which of the answer choices identifies the hypothesis?
Mark Twain said, "If you tell the truth, then you don't have to remember anything."

You tell the truth

The truth

Then you don't have to remember anything

You don't have to remember anything

1

In the following if-then statement, which of the answer choices identifies the conclusion?
Mark Twain said, "If you tell the truth, then you don't have to remember anything."

You tell the truth

The truth

Then you don't have to remember anything

You don't have to remember anything

For the statement below, write the converse, the inverse, and the contrapositive.

If angles are complementary, then they add to 90.

1

Converse:

1

Inverse:

1

Contrapositive:

For the statement below, write the converse, the inverse, and the contrapositive.

If 3x + 10 = 16, then x = 2

(Use the phrase "does not =" for negation)

1

Converse:

1

Inverse:

1

Contrapositive:

For the statement below, write the converse, the inverse, and the contrapositive.

If today is not Halloween, then it is not October 31.

1

Converse:

1

Inverse:

1

Contrapositive:

For the statement below, first re-write it as an if-then conditional statement, then write the converse, the inverse, and the contrapositive.

"You want a great selection? Come and see Bargain Bob's Used Cars!"

1

Conditional:

1

Converse:

1

Inverse:

1

Contrapositive:

For the following 5 questions, decide whether the statement is true or false. If false, choose the correct counterexample.

1

If a polygon has five sides, then it is a regular pentagon.

True

False,

null

False,

null

False,

null

1

For the next 3 questions, decide whether each statement about the diagram is true or false.

1

m\angle{ABC}=90^o

True

False

1

PQ \perp ST

True

False

1

For the next 6 questions, determine if the conditional statement and the converse are true. If so, write it as a biconditional statement. If not, provide a counterexample (words or a diagram).

1

If an angle has a measure between 90 and 180, then it is called obtuse.

1

If two angles are a linear pair, then they are adjacent angles.

1

2.1 Worksheet

When x = 6, then x^{2} = 36.

The measure of a straight angle is 180.

Only people who are registered are allowed to vote.

In the following if-then statement, which of the answer choices identifies the hypothesis?Mark Twain said, "If you tell the truth, then you don't have to remember anything."

In the following if-then statement, which of the answer choices identifies the conclusion?Mark Twain said, "If you tell the truth, then you don't have to remember anything."

Converse:

Inverse:

Contrapositive:

Converse:

Inverse:

Contrapositive:

Converse:

Inverse:

Contrapositive:

Conditional:

Converse:

Inverse:

Contrapositive:

If a polygon has five sides, then it is a regular pentagon.

m\angle{ABC}=90o

PQ \perp ST

If an angle has a measure between 90 and 180, then it is called obtuse.

If two angles are a linear pair, then they are adjacent angles.

When x = 6, then x^{2} = 36.

The measure of a straight angle is 180.

Only people who are registered are allowed to vote.

In the following if-then statement, which of the answer choices identifies the hypothesis?Mark Twain said, "If you tell the truth, then you don't have to remember anything."

In the following if-then statement, which of the answer choices identifies the conclusion?Mark Twain said, "If you tell the truth, then you don't have to remember anything."

Converse:

Inverse:

Contrapositive:

Converse:

Inverse:

Contrapositive:

Converse:

Inverse:

Contrapositive:

Conditional:

Converse:

Inverse:

Contrapositive:

If a polygon has five sides, then it is a regular pentagon.

If m\angle{A} is 85o, then the measure of the complement of \angle{A} is 5o.

Supplementary angles are always linear pairs

If a number is a real number, then it is irrational.

If x^{4} = 81, then x must equal 3.

m\angle{ABC}=90o

PQ \perp ST

m\angle{2} + m\angle{3} = 180o

If an angle has a measure between 90 and 180, then it is called obtuse.

If two angles are a linear pair, then they are adjacent angles.

If points are coplanar, then they lie in the same plane.

It two lines are perpendicular, then they for a right angle.

If a figure is a square, then it is a quadrilateral.

If two angles are equal, then they are congruent.

If m\angle{A} is 85o, then the measure of the complement of \angle{A} is 5o.

Supplementary angles are always linear pairs

If a number is a real number, then it is irrational.

If x^{4} = 81, then x must equal 3.

m\angle{2} + m\angle{3} = 180o

If points are coplanar, then they lie in the same plane.

It two lines are perpendicular, then they for a right angle.

If a figure is a square, then it is a quadrilateral.

If two angles are equal, then they are congruent.

In the following if-then statement, which of the answer choices identifies the hypothesis?
Mark Twain said, "If you tell the truth, then you don't have to remember anything."

In the following if-then statement, which of the answer choices identifies the conclusion?
Mark Twain said, "If you tell the truth, then you don't have to remember anything."

m\angle{ABC}=90^o

In the following if-then statement, which of the answer choices identifies the hypothesis?
Mark Twain said, "If you tell the truth, then you don't have to remember anything."

In the following if-then statement, which of the answer choices identifies the conclusion?
Mark Twain said, "If you tell the truth, then you don't have to remember anything."

If m\angle{A} is 85^o, then the measure of the complement of \angle{A} is 5^o.

m\angle{ABC}=90^o

m\angle{2} + m\angle{3} = 180^o

If m\angle{A} is 85^o, then the measure of the complement of \angle{A} is 5^o.

m\angle{2} + m\angle{3} = 180^o