Warm-Up 6.3 - Parallelogram Properties

In the diagram below of parallelogram RSTV, diagonals SV and RT intersect at E. Which statement is always true?

• SR ≅ RV

• RT ≅ SV

• SE ≅ RE

• RE ≅ TE

Parallelogram HAND is drawn below with diagonals HN and AD intersecting at S. Which statement is always true?

• AN = 1/2 AD

• AS = 1/2 AD

• ∠AHS ≅ ∠ANS

• ∠HDS ≅ ∠NDS

Which statement about parallelograms is always true?

• The diagonals are congruent.

• The diagonals bisect each other.

• The diagonals are perpendicular.

• The diagonals bisect their respective angles.

A quadrilateral must be a parallelogram if

• one pair of sides is parallel and one pair of angles is congruent

• one pair of sides is congruent and one pair of angles is congruent

• one pair of sides is both parallel and congruent

• the diagonals are congruent

A quadrilateral must be a parallelogram if

• one pair of sides is parallel and one pair of angles is congruent

• one pair of sides is congruent and one pair of angles is congruent

• the diagonals bisect each other

• one pair of opposite angles is congruent

Which of the following reasons could be used to prove a quadrilateral is a parallelogram?

• One pair of opposite sides is congruent and parallel
• The diagonals are congruent
• One pair of opposite angles are congruent
• One right angle