Parallelograms and Proving Parallelograms

Which theorem shows that the quadrilateral is a parallelogram?

• Parallelogram Diagonals Converse

• Parallelogram Opposite Sides Converse

• Parallelogram Opposite Angles Converse

• Opposite Sides Parallel and Congruent Theorem

Tags

CCSS.HSG.CO.C.11

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

• yes, opposite sides are congruent

• yes, opposite sides are parallel

• no, not all pairs of opposite sides are congruent

• no, it is not a quadrilateral

Tags

CCSS.HSG.CO.C.11

The figure is a parallelogram.  
Solve for x.  

• 7

• 2

• 0

• 4

Tags

CCSS.HSG.CO.C.11

How do you find the length of the side of a parallelogram?

• Use the distance formula

• Use the slope formula

• Use the midpoint formula

How can you prove two diagonals bisect each other?

• Use distance formula and prove they have the same length

• Use midpoint formula and prove they have the same midpoint

• Use the slope formula and prove they have the same slope

• Use the slope formula and prove the slopes are perpendicular

Tags

CCSS.HSG.CO.C.11

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

• yes

• no

Tags

CCSS.HSG.CO.C.11

If you can prove that one pair of opposite sides are congruent, you can prove that the shape is a parallelogram.

• True

• False

Tags

CCSS.HSG.C.A.3

You can prove both pairs of opposite sides are congruent in a parallelogram using the distance formula.

• True

• False

Tags

CCSS.HSG.CO.C.11

You can prove both pairs of opposite sides are parallel by using the slope formula.

• True

• False

Tags

CCSS.HSG.CO.C.11