Conditions that Make a Quadrilateral a Parallelogram

All parallelograms have __________ sides.

• 6

• 8

• 2

• 4

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.

• not a parallelogram

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

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

• Yes, quadrilateral with 2 pairs of opposite sides ≅

A quadrilateral is a parallelogram if each

diagonal divides the parallelogram into two

congruent triangles.

• Yes

• No

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

• 90

• 100

• 20

• 80

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

• 20

• 80

• 100

• 90

Which of the following is NOT true about a parallelogram?

• It's opposite sides are parallel.

• A quadrilateral is a parallelogram

• The sum of its interior angles is 360.

• A rectangle is a parallelogram

The parallelogram is a quadrilateral in which its two diagonals

• Equal in length

• Perpendicular and equal in length

• Bisect each other

• Perpendicular

A quadrilateral is a parallelogram if a pair of consecutive angles are ___________.

• complementary

• supplementary

• congruent

• equal

ABCD is a quadrilateral with AB = 10 cm and BC = 15 cm. What are the measures of the remaining sides to make it a parallelogram?

• CD = 15 cm and AD = 15 cm

• CD = 15 cm and AD = 10 cm

• CD = 10 cm and AD = 15 cm

• CD = 10 cm and AD = 10 cm