Special Parallelograms Geometry Unit 12, Day 3 Mr. Zampetti.
Parallelograms – Part 1 Geometry Chapter 6 A BowerPoint Presentation.
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Parallelograms – Part 1 Geometry Chapter 6 A BowerPoint Presentation
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Transcript of Parallelograms – Part 1 Geometry Chapter 6 A BowerPoint Presentation.
Parallelograms – Part 1
Geometry
Chapter 6
A BowerPoint Presentation
Definition of parallelogram
A quadrilateral is a parallelogram
IF and ONLY IF
both pairs of opposite sides are parallel
Definition of parallelogram
ABCD
AB DC and AD BC
Definition of parallelogram
ABCD
AB DC and AD BC
If , then opp sides
If ABCD
AB DC and AD BC
If , then opp sides
If ABCD
AB DC and AD BC
If , then opp sides
If ABCD
AB DC and AD BC
If , then opp s
If ABCD
A C and B D
If , then opp s
If ABCD
A C and B D
If , then opp s
If ABCD
A C and B D
If , then diagonals bisect each other
If ABCD
AM MC and BM MD
If , then diagonals bisect each other
If ABCD
AM MC and BM MD
If , then diagonals bisect each other
If ABCD
AM MC and BM MD
Same-side interior angles
Do you see any same-side interior angles in this parallelogram?
What do you know about same-side interior angles and parallel lines?
If , then consecutive s are supps
If ABCD
A + B = 180 ; B + C = 180
C + D = 180 ; D + A = 180
