Conditions 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

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

• yes
• no

Is this structural image a parallelogram?

• Yes
• No

Is this image a parallelogram?

• Yes
• No

Which statement below can be used to prove EFGH is a parellelogram?

• ∠E ≅ ∠F and ∠F ≅ ∠G 
• ∠E ≅ ∠G and ∠F ≅ ∠D
• ∠E ≅ ∠F and ∠D ≅ ∠G
• ∠E ≅ ∠G and ∠F ≅ ∠H