Properties and Conditions for 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

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

• EG and FH bisect each other 
• EG and HF are congruent
• EF and FG are congruent 
• EG and DF are congruent

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

• 20
• 80
• 90
• 100

10. Given m∠E = 100°.  What must be m∠F and m∠H to prove EFGH is a parallelogram?

• 20
• 80
• 90
• 100

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 

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

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

• EF ≅ FG and GH ≅ HE 
• EF ≅ EH and HG ≅ FG
• EF ≅ HG and EH ≅ FG
• EG ≅ FH and EH ≅ FG

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