Proving Parallelogram Properties

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

The figure is a parallelogram.  
Solve for x.  

• 7

• 2

• 0

• 4

If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.

• Always

• Sometimes

• Never

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

Which statement is always true for parallelograms?

• All sides have the same length

• All angles have the same measure

• Opposite sides are equal in length

• Opposite angles have different measures

A rhombus has all of the properties of a 

• Parallelogram

• Trapezoid

• Kite

• Square

Which statement is FALSE? 
A parallelogram _____________

• Has 2 sets of parallel sides

• Has diagonals that are perpendicular

• Has diagonals that bisect each other

Classify this quadrilateral in as many ways as possible.

• quadrilateral, parallelogram

• quadrilateral, rhombus, paralleogram

• quadrilateral, paralellogram, rectangle

• quadrilateral, parallelogram, trapezoid

Classify this quadrilateral in as many ways as possible.

• quadrilateral, parallelogram, rhombus, square

• quadrilateral, parallelogram

• quadrilateral, rhombus

• quadrilateral, parallelogram, rhombus

Which conclusion can be drawn?

• All quadrilaterals are kites, but all kites are not quadrilaterals.

• All parallelograms are rhombi, but all rhombi are not parallelograms.

• All squares are parallelograms, but all parallelograms are not squares.

• All parallelograms are rectangles, but all rectangles are not parallelograms.