Properties of Parallelograms

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

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

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, 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

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

All parallelograms have __________ sides.

• 2
• 4
• 6
• 8

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

• yes
• no

Do the following coordinates form a parallelogram? M(0,0) A(1,3) T(5,3) H(4,0). Check by using the slope formula.

• Yes

• No

• Can not be determined