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Chapter 2 Review (No Proofs)

Last updated over 3 years ago
66 questions
Use the pattern below for the next 2 questions.
1

Describe the pattern in words

1

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

Use the pattern below for the next 2 questions.
1

Describe the pattern in words

1

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, _____, ______
1

Describe the pattern in words

1

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, _____, ______
1

Describe the pattern in words

1

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, _____, ______
1

Describe the pattern in words

1

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

1

Choose the correct counterexample for the following statement.

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

1

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:

1

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:

1

Inverse:

1

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.

1

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

1

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

1

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.

1

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

1

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

1

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

1

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

1

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}.

1

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}

1

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

1

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

1

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.

1

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.

1

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

1

\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}.

1

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

1

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

1

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}.

1

If 4a = 36, then a = 9.

1

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

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

1

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

1

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

1

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