Conditions for Parallelograms

Determine whether the figure is a parallelogram.  If so, state the reason.

• Yes, quadrilateral with 2 pairs of opposite sides ≅

• Yes, quad with 2 pair of opposite angles ≅

• Yes, quad with 1 pair of opposite sides || and ≅

• not a parallelogram

Determine whether the figure is a parallelogram.  If so, state the reason.

• Yes, quadrilateral with 2 pairs of opposite sides ≅

• Yes, quadrilateral with 2 pairs of opposite angles ≅

• Yes, quad with diagonals bisecting each other 

• not a parallelogram

Is there enough information to determine that this quadrilateral is a parallelogram?

• yes

• no

Given m∠E = 100°.  What must be m∠G to prove EFGH is a parallelogram?

• 20

• 80

• 90

• 100

Determine whether the figure is a parallelogram.  If so, state the reason.

• Yes, quadrilateral with 2 pairs of opposite sides ≅

• Yes, quad with any ∠ supplementary to both consecutive ∠s

• Yes, quad with 1 pair of opposite sides || and ≅

• not a parallelogram

Which polygon is NOT a parallelogram?

• Figure 1

• Figure 2

• Figure 3

• Figure 4

Graph the following coordinates A(-3,0) B (-1,0) C(-2,2) D(0,2). Do they form a parallelogram? Check by using the slope formula.

• Yes

• No

• Can not be determined

All parallelograms have __________ sides.

• 2

• 4

• 6

• 8

Explain why the quadrilateral is a parallelogram.

• Both pairs of opposite angles are congruent

• Both pairs of opposite sides are congruent

• Both pairs of opposite sides are parallel

• Trick question - not a parallelogram!

Explain why the quadrilateral is a parallelogram.

• One pair of opposite sides both parallel and congruent

• Both pairs of opposite sides are congruent

• Both pairs of opposite sides are parallel

• Trick question - not a parallelogram!