Lesson Parallelograms
A parallelogram
A parallelogram
A parallelogram
is a quadrilateral (four sides)
A parallelogram
is a quadrilateral (four sides)
1
A parallelogram
is a quadrilateral (four sides)
1
2
A parallelogram
is a quadrilateral (four sides)
3
1
2
A parallelogram
is a quadrilateral (four sides)
4
3
1
2
A parallelogram has how many sides?
A parallelogram
is a quadrilateral (four sides)
A parallelogram
is a quadrilateral (four sides)
with opposite sides parallel
A parallelogram
is a quadrilateral (four sides)
with opposite sides parallel
these are parallel
A parallelogram
is a quadrilateral (four sides)
with opposite sides parallel
and these
are parallel
Parallelograms have several properties
Parallelograms have several properties
opposite sides are equal
Parallelograms have several properties
opposite sides are equal
Parallelograms have several properties
opposite sides are equal
3
5
In parallelograms, opposite angles are also equal
In parallelograms, opposite angles are also equal
In parallelograms, opposite angles are also equal
130
50
The diagonals in parallelograms are bisected
The diagonals in parallelograms are bisected
The diagonals in parallelograms are bisected
The diagonals in parallelograms are bisected
The diagonals in parallelograms are bisected
8
4
Because opposite sides are parallel,
Because opposite sides are parallel,
Because opposite sides are parallel,
Because opposite sides are parallel,
same side interior angles (bracket) add to 180
Because opposite sides are parallel,
same side interior angles (bracket) add to 180
Add to 180
Because opposite sides are parallel,
same side interior angles (bracket) add to 180
Add to 180
Because opposite sides are parallel,
same side interior angles (bracket) add to 180
Add to 180
Because opposite sides are parallel,
same side interior angles (bracket) add to 180
Add to 180
110
Also, because opposite sides are parallel,
Also, because opposite sides are parallel,
alternate interior (Z shape) angles are congruent
Also, because opposite sides are parallel,
alternate interior (Z shape) angles are congruent
Also, because opposite sides are parallel,
alternate interior (Z shape) angles are congruent
These two angles are equal
Also, because opposite sides are parallel,
alternate interior (Z shape) angles are congruent
These two angles are equal
Also, because opposite sides are parallel,
alternate interior (Z shape) angles are congruent
These two angles are equal
Also, because opposite sides are parallel,
alternate interior (Z shape) angles are congruent
These two angles are equal
30
40
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