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8.1 Worksheet

Last updated over 3 years ago
63 questions
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A quadrilateral with two pairs of parallel sides is a ______________________

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The opposite sides of a parallelogram are ______________________

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The opposite angles of a parallelogram are ______________________

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The consecutive angles of a parallelogram are ______________________

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The diagonals of a parallelogram _______________ each other.

Use the parallelogram MATH for questions 6-9.
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Which of the following angle pairs are congruent? Check all that apply.

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Which of the following angle pairs are supplementary? Check all that apply.

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Which of the following sides are congruent? Check all that apply.

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Which of the following sides are parallel? Check all that apply.

For #10-21, determine whether each statement is true or false about parallelogram ABCD below.
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\overline{AB}\cong\overline{DC}

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\angle{ADC}\cong\angle{DCB}

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\overline{DB}\cong\overline{AC}

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\angle{DCB}\cong\angle{DAB}

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\overline{AD}\parallel\overline{BC}

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m\angle{ADC} + m\angle{DCB} = 180o

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\overline{DC}\cong\overline{BC}

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\angle{DAB} + m\angle{DCB} = 180o

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\angle{1}\cong\angle{2}

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m\angle{1} + m\angle{2} = 180o

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\angle{1}\cong\angle{3}

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m\angle{1} + m\angle{4} = 180o

Use parallelogram ABCD below for questions 22-40.
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What is the length of CD?

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What is the length of DA?

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What is the length of AC?

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What is the length of DB?

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What is the length of CE?

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What is the length of DE?

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What is m\angle{ABC}?

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What is m\angle{BCE}?

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What is m\angle{BCD}?

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What is m\angle{ADC}?

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What is m\angle{BAD}?

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What is m\angle{CDE}?

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What is m\angle{EDA}?

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What is m\angle{DAE}?

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What is m\angle{EAB}?

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What is m\angle{AEB}?

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What is m\angle{BEC}?

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What is m\angle{CED}?

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What is m\angle{DEA}?

Use parallelogram ABCD below for questions 41-49.
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If AB = 12 and AE = 6, then DC = ______, and EC = _______. Write your answer as #, #

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If AE = 9 and AD = 3, then AC = ______, and BC = _______. Write your answer as #, #

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If BD = 14 and AB = 10, then BE = ______, and DC = _______. Write your answer as #, #

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If m\angle{ADC} = 42o, then m\angle{ABC} = ______, and m\angle{DAB} = _______. Write your answer as #, #

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If AB = 2x + 1 and DC = 4x - 19, then find the value of x.

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If BE = 6x + 1 and DE = 4x + 31, then find the value of x.

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If AE = x + 1 and AC = 5x - 10, then find the value of x.

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If AD = 7x - 9 and BC = 4x + 33, then find the value of x.

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If AB = x + 3, BC = x - 4, and the perimter of ABCD is 6x - 20, then find the value of x.

For questions 50-57, determine whether you are given enough information to determine that the quadrilateral described is a parallelogram.
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Opposite sides are parallel.

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Two pairs of consecutive sides are congruent.

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Diagonals are congruent.

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All four sides are congruent.

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Opposite sides are congruent.

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Two pairs of consecutive angles are congruent.

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Diagonals bisect each other.

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Consecutive angles are supplementary.

For questions 58-63, determine if each quadrilateral is a parallelogram.
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