Download WS - 6.2 - Properties of Paralleograms

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II'J - Properties of Parallelograms
Find the value of x in each parallelogram.
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Algebra Find the values for x andy in parallelogram ABCD.
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9) AE = 4x, EC = 5y- 2, DE= 2x, EB
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Given: Parallelogram EFGH, with diagonals
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Diagonals of a parallelogram bisect each other
Diagonals of a parallelogram bisect each other
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In the figure, TV= UV. Find each length.
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Find the measures of the numbered angles for each parallelogram.
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21) The measure of one interior angle of a parallelogram is 30° more than two times the measure of another
angle. Find the measure of each angle of the parallelogram.
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22) Your friend claims that you can prove that two parallelograms are congruent by proving that they have two
pairs of congruent opposite angles. Is your friend correct? Explain your reasoning.
23) State whether each statement is always, sometimes, or never true for a parallelogram.
a. The opposite sides are congruent.
b. All four sides are congruent.
c. The diagonals are congruent.
d. The opposite angles are congruent.
e. The adjacent angles are congruent.
f. The adjacent angles are complementary.