Proving Parallelograms: Key Methods and Techniques

What is the first step in proving a quadrilateral is a rectangle, rhombus, or square?

• Proving it has four right angles

• Proving it has four equal sides

• Proving it is a parallelogram

• Proving it has one pair of parallel sides

When labeling a parallelogram, in which direction should you move?

• Horizontally

• Clockwise or counterclockwise

• Diagonally

• Randomly

What formula is used to show that sides are parallel in Method 1?

• Area formula

• Midpoint formula

• Slope formula

• Distance formula

In Method 1, what observation is made to conclude that sides are parallel?

• The sides have the same length

• The sides have the same midpoint

• The sides have equivalent slopes

• The sides form right angles

Which theorem is used in Method 2 to prove a parallelogram?

• If a quadrilateral has four right angles

• If a quadrilateral has equal diagonals

• If a quadrilateral has one set of parallel sides

• If a quadrilateral has two sets of opposite sides being congruent

What formula is used in Method 2 to show that sides are congruent?

• Distance formula

• Slope formula

• Midpoint formula

• Area formula

In Method 3, what two properties must one set of opposite sides have?

• Right angles and congruent

• Equal length and right angles

• Parallel and congruent

• Equal length and parallel

What formula is used in Method 3 to show that sides are congruent?

• Midpoint formula

• Distance formula

• Slope formula

• Area formula

What is the goal in Method 4 to prove a parallelogram?

• Show that the diagonals form right angles

• Show that the diagonals are parallel

• Show that the diagonals are equal

• Show that the diagonals bisect each other

Which formula is used in Method 4 to show that diagonals bisect each other?

• Slope formula

• Midpoint formula

• Distance formula

• Area formula