Chapter 2 Review (No Proofs)

Use the pattern below for the next 2 questions.

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Which of the following is the next figure in the pattern?

Use the pattern below for the next 2 questions.

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Which of the following is the next figure in the pattern?

Use the pattern below for the next 2 questions.

17, 23, 29, 35, 41, _____, ______

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Describe the pattern in words

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Write the next 2 numbers in the pattern. Write your answer as _, __

Use the pattern below for the next 2 questions.

4, 7, 12, 19, 28, _____, ______

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Describe the pattern in words

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Write the next 2 numbers in the pattern. Write your answer as _, __

Use the pattern below for the next 2 questions.

2, -4, 8, -16, 32, _____, ______

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Describe the pattern in words

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Write the next 2 numbers in the pattern. Write your answer as _, __

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Choose the correct counterexample for the following statement.

If B is between A and C, then AB = BC.

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Choose the correct counterexample for the following statement.

The product of two positive numbers is greater than either number.

For the next 3 questions, the provided conditional statement is true.  Consider eacn converse.  If the converse is true, combine the statements and write them as a biconditional.  If the converse is not true, provide a counterexample.

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If it is a cat, then it is an animal.

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A square has four right angles.

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Complementary angles are two angles whose measures add to 90.

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

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

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Converse:

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Inverse:

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Contrapositive:

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

If Mary lives in Minneapolis, then she lives in Minnesota.

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Converse:

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Inverse:

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Contrapositive:

For the next 5 questions, determine of the statements represent the Law of Syllogism or the Law of Detachment.  If possible, make a valid conclusion.  If not, state NOT VALID.

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If you want to receive your license, then you have to pass the driver's test. If you want to pass the driver's test, then you need to practice.

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If the bus is late, then we will be late to school. If we are late for school, then we will receive a tardy.

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If an animal is a snake, then it is a reptile. If an animal is a snake, then it has fangs.

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If you go to the beach, then you will put on sunscreen. Alex went to the beach.

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If you play fantasy football, then you must have a favorite player. Logan's favorite player is Drew Brees.

For the next 7 questions, determine if each statement is a TRUE biconditional.

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Angles are vertical if and only if they are congruent.

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Angles are supplementary if and only if they add to 180o.

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Two lines are perpendicular if and only if they intersect at right angles.

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Two rays have the same initial point if and only if they are opposite rays.

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Two segments are congruent if and only if their lengths are equal.

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Two angles are supplementary if and only if one of them is obtuse.

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Two lines intersect if and only if they are perpendicular.

For the next 33 questions, name the property, definition, postulate, or theorem used to make the conclusion.

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If \overline{HJ} \cong \overline{LM}, then \overline{LM} \cong \overline{HJ}.

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If \angle{1} \cong \angle{2} and \angle{2} \cong \angle{4}, then \angle{1} \cong \angle{4}.

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\angle{XYZ} \cong \angle{XYZ}

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If \angle{1} and \angle{2} are right angles, then \angle{1} \cong \angle{2}.

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If \angle{1} and \angle{2} are supplementary, and \angle{2} and \angle{3} are supplementary, then \angle{1} \cong \angle{3}.

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If m\angle{A} = m\angle{B}, then \angle{A} \cong \angle{B}.

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\angle{1} and \angle{2} are a linear pair.

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If \angle{1} and \angle{2} are complementary, then m\angle{1} + m\angle{2} = 90o.

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AB + BC = AC

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If \angle{1} and \angle{2} are a linear pair, then m\angle{1} + m\angle{2} = 180o.

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If x = 10 and x + y = 24, then 10 + y =24.

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\angle{1} and \angle{2} are vertical angles.

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If \angle{1} and \angle{2} are vertical angles, then m\angle{1} = m\angle{2}.

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If AB = GH, then AB + 8 = GH + 8.

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If \overleftrightarrow{YI} and \overleftrightarrow{ER} are perpendicular, then they form right angles.

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If m\angle{A} + m\angle{A} + m\angle{A} = 48o, then 3(m\angle{A}) = 48o.

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If \angle{2} and \angle{5} are complements, and \angle{7} and \angle{5} are complements, then \angle{2} \cong \angle{7}.

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If 4a = 36, then a = 9.

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\angle{ABD} + \angle{DBC} = \angle{ABC}

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If m\angle{ABD} = 180o, then \angle{1} is a straight angle.

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If \angle{1} and \angle{2} are a linear pair, then \angle{1} and \angle{2} are supplementary.

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If \overrightarrow{ST} bisects \angle{VSQ}, then \angle{VST} \cong \angle{TSQ}.

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If 8x + 17 = 25, then 8x = 8

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If \angle{1} is a right angle, then m\angle{1} = 90o.

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If RS = TU and TU = VW, then RS = VW.

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9(v - 6) = 9v - 54

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If M is the midpoint of AB, then AM = MB

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If m\angle{1} + m\angle{2} = 180o, then \angle{1} and \angle{2} are supplementary.

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If \frac{1}{2}(x - 4) = 16, then x - 4 = 32

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If m\angle{1} is between 0o and 90o, then \angle{1} is acute.

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GH + HJ = GJ

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If \overleftrightarrow{LM} bisects \overline{TU} at point M, then TM = MU.

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Chapter 2 Review (No Proofs)

Which of the following is the next figure in the pattern?

Which of the following is the next figure in the pattern?

Describe the pattern in words

Write the next 2 numbers in the pattern. Write your answer as _____, ______

Describe the pattern in words

Write the next 2 numbers in the pattern. Write your answer as _____, ______

Describe the pattern in words

Write the next 2 numbers in the pattern. Write your answer as _____, ______

Choose the correct counterexample for the following statement.If B is between A and C, then AB = BC.

Choose the correct counterexample for the following statement.The product of two positive numbers is greater than either number.

If it is a cat, then it is an animal.

A square has four right angles.

Complementary angles are two angles whose measures add to 90.

Converse:

Inverse:

Contrapositive:

Converse:

Inverse:

Contrapositive:

If you want to receive your license, then you have to pass the driver's test. If you want to pass the driver's test, then you need to practice.

If the bus is late, then we will be late to school. If we are late for school, then we will receive a tardy.

If an animal is a snake, then it is a reptile. If an animal is a snake, then it has fangs.

If you go to the beach, then you will put on sunscreen. Alex went to the beach.

If you play fantasy football, then you must have a favorite player. Logan's favorite player is Drew Brees.

Angles are vertical if and only if they are congruent.

Angles are supplementary if and only if they add to 180o.

Two lines are perpendicular if and only if they intersect at right angles.

Two rays have the same initial point if and only if they are opposite rays.

Two segments are congruent if and only if their lengths are equal.

Two angles are supplementary if and only if one of them is obtuse.

Two lines intersect if and only if they are perpendicular.

If \overline{HJ} \cong \overline{LM}, then \overline{LM} \cong \overline{HJ}.

If \angle{1} \cong \angle{2} and \angle{2} \cong \angle{4}, then \angle{1} \cong \angle{4}.

\angle{XYZ} \cong \angle{XYZ}

If \angle{1} and \angle{2} are right angles, then \angle{1} \cong \angle{2}.

If \angle{1} and \angle{2} are supplementary, and \angle{2} and \angle{3} are supplementary, then \angle{1} \cong \angle{3}.

If m\angle{A} = m\angle{B}, then \angle{A} \cong \angle{B}.

\angle{1} and \angle{2} are a linear pair.

If \angle{1} and \angle{2} are complementary, then m\angle{1} + m\angle{2} = 90o.

AB + BC = AC

If \angle{1} and \angle{2} are a linear pair, then m\angle{1} + m\angle{2} = 180o.

If x = 10 and x + y = 24, then 10 + y =24.

\angle{1} and \angle{2} are vertical angles.

If \angle{1} and \angle{2} are vertical angles, then m\angle{1} = m\angle{2}.

If AB = GH, then AB + 8 = GH + 8.

If \overleftrightarrow{YI} and \overleftrightarrow{ER} are perpendicular, then they form right angles.

If m\angle{A} + m\angle{A} + m\angle{A} = 48o, then 3(m\angle{A}) = 48o.

If \angle{2} and \angle{5} are complements, and \angle{7} and \angle{5} are complements, then \angle{2} \cong \angle{7}.

If 4a = 36, then a = 9.

\angle{ABD} + \angle{DBC} = \angle{ABC}

If m\angle{ABD} = 180o, then \angle{1} is a straight angle.

If \angle{1} and \angle{2} are a linear pair, then \angle{1} and \angle{2} are supplementary.

If \overrightarrow{ST} bisects \angle{VSQ}, then \angle{VST} \cong \angle{TSQ}.

If 8x + 17 = 25, then 8x = 8

If \angle{1} is a right angle, then m\angle{1} = 90o.

If RS = TU and TU = VW, then RS = VW.

9(v - 6) = 9v - 54

If M is the midpoint of AB, then AM = MB

If m\angle{1} + m\angle{2} = 180o, then \angle{1} and \angle{2} are supplementary.

If \frac{1}{2}(x - 4) = 16, then x - 4 = 32

If m\angle{1} is between 0o and 90o, then \angle{1} is acute.

GH + HJ = GJ

If \overleftrightarrow{LM} bisects \overline{TU} at point M, then TM = MU.

If then m\angle{1} + m\angle{2} = 90o, then \angle{1} and \angle{2} are complementary.

Which of the following is the next figure in the pattern?

Which of the following is the next figure in the pattern?

Describe the pattern in words

Write the next 2 numbers in the pattern. Write your answer as _____, ______

Describe the pattern in words

Write the next 2 numbers in the pattern. Write your answer as _____, ______

Describe the pattern in words

Write the next 2 numbers in the pattern. Write your answer as _____, ______

Choose the correct counterexample for the following statement.If B is between A and C, then AB = BC.

Choose the correct counterexample for the following statement.The product of two positive numbers is greater than either number.

If it is a cat, then it is an animal.

A square has four right angles.

Complementary angles are two angles whose measures add to 90.

Converse:

Write the next 2 numbers in the pattern. Write your answer as _, __

Write the next 2 numbers in the pattern. Write your answer as _, __

Write the next 2 numbers in the pattern. Write your answer as _, __

Choose the correct counterexample for the following statement.

If B is between A and C, then AB = BC.

Choose the correct counterexample for the following statement.

The product of two positive numbers is greater than either number.

Write the next 2 numbers in the pattern. Write your answer as _, __

Write the next 2 numbers in the pattern. Write your answer as _, __

Write the next 2 numbers in the pattern. Write your answer as _, __

Choose the correct counterexample for the following statement.

If B is between A and C, then AB = BC.

Choose the correct counterexample for the following statement.

The product of two positive numbers is greater than either number.