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

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

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

What is the value of x?

• 132

• 66

• 114

• 48

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, 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

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

• 20

• 80

• 90

• 100