Quadrilateral Family Worksheets - Definitions, Properties Chart, Family Tree And Venn Diagram Page 5
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136-3 Notes: Proving that a Quadrilateral is a Parallelogram
Determine whether quadrilateral ABCD with the given vertices is a
You can show that a quadrilateral is a parallelogram if you can show
parallelogram. Explain.
that one of the following is true.
4. A(2,5), B(5,9), C(6,3), D(3,-1)
Def: Both pairs opp.
Sides
Parallelogram
Both pairs of opp. Sides → Parallelogram
Diagonals bisect each other → Parallelogram
Both pairs opp. Angles → Parallelogram
One pair of opp. Sides are both
and → Parallelogram
Determine if each quadrilateral is a parallelogram. Justify your
answer.
110°
1.
3.
70°
30°
40°
5. A(-1,6), B(2,-3), C(5,0), D(2,9)
2.
30°
40°
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