Introduction to Section 6-2 “Parallelograms...1 Introduction to Section 6-2...
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1 Introduction to Section 6-2 “Parallelograms” Definition “A parallelogram is a quadrilateral that has both pairs of opposite sides parallel to each other.” Key Properties 1) Opposite sides are parallel 2) Opposite sides are congruent 3) Opposite angles are congruent 4) Diagonals bisect each other 5) Adjacent angles are supplementary
Transcript of Introduction to Section 6-2 “Parallelograms...1 Introduction to Section 6-2...
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Introduction to Section 6-2 “Parallelograms”
Definition
“A parallelogram is a quadrilateral that has both pairs of
opposite sides parallel to each other.”
Key Properties
1) Opposite sides are parallel
2) Opposite sides are congruent
3) Opposite angles are congruent
4) Diagonals bisect each other
5) Adjacent angles are supplementary
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Example #1
Given that m<A = 115° find the measures of the other
angles.
D C
BA
Example #2
Given the above figure, with m<B = 7x - 1 and
m<C = 8x + 16, find the measures of all four angles.
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Example #3
If AE = 2x + 6 and EC = 3x - 2, find AC.
E
D C
BA
Example#4
In the parallelogram depicted below, find all of the
missing interior angles.
74
48
42
E
D C
BA
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Example #5
Given that AB = 5x-8, CD = 3x +10,
BC = 7y+4 and DA = 10y-5, find the perimeter of ABCD.
D C
BA
5
6
7
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