geometry
DESCRIPTION
Geometry. 5.2 Ways to Prove that Quadrilaterals are Parallelograms. There are 5 Ways to Prove that a Quadrilateral is a. THE FIRST WAY. We already know the first one, by the defn. of that…. 1) Both pairs of opp. sides //. or. Defn. of. Parallelogram. - PowerPoint PPT PresentationTRANSCRIPT
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Geometry
5.2 Ways to Prove that Quadrilaterals are Parallelograms
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There are 5 Ways to Prove that a Quadrilateral is a THE FIRST WAY. We already know the first
one, by the defn. of that…
1) Both pairs of opp. sides //
Parallelogram
or
Defn. of
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THE SECOND WAY (Theorem)
2) Both pairs of opp. sides =~
Parallelogram
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THE THIRD WAY (Theorem)
3) One pair of opp. sides both // and =~
Parallelogram
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THE FOURTH WAY (Theorem)
4) Both pairs of opp. ‘s =~
Parallelogram
7
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THE FIFTH WAY (Theorem)
5) Diagonals bisect each other
Parallelogram
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The Five Ways to Show a Quadrilateral is a Parallelogram
2) Both pairs of opp. sides =~
3) One pair of opp. sides both // and =~
4) Both pairs of opp. ‘s =~
7
5) Diagonals bisect each other
1) Defn. of
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PG 173 CE
1. 2. 3.
4. 5. 6.
7. 8. 9.
10. 11. 12.
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(2x – 5)
3y
1233y – 8
x2 y + 12
2x + 15
7y3x
4y + 2145
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|| ;
;
ogramWXYZ
MZ WN NY WN
||MNYZ is a ogram
|| ogramWXYZ
||WN ZY
;MZ WN NY WN
||MZ NY
||MNYZ is a ogram
W
Z
M X N
Y
Given:
Prove:
1. 1.
2. 2.
3. 3.
4. 4.
5. 5.
REVIEW: Angle Bisector Theorem for problem #15
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HW
P. 174 (1-10, 14, 19-22)
P. 384 (17)
Canned foods
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One from the HW
P. 174 #6 Has two possible answers