Parallelogram Review

A parallelogram with congruent diagonals is most specifically a....

• Rectangle

• Rhombus

• Parallelgoram

• Isosceles Trapezoid

You can prove a quadrilateral is a parallelogram if...

• One pair of sides is both congruent and parallel

• One pair of sides is congruent and the other pair of sides is parallel

• diagonals are congruent

• diagonals are perpendicular

A parallelogram must be a rhombus if...

• the diagonals bisect each other

• the diagonals bisect the angles they're drawn from

• the diagonals are congruent

• both pairs of opposite angles are congruent

In quadrilateral QRST, diagonals QS and RT intersect at M. Which statement would always prove quadrilateral QRST is a parallelogram?

A parallelogram is always a rectangle if

• the diagonals are congruent

• the diagonals bisect each other

• the diagonals intersect at right angles

• the opposite angles are congruent

Which information is NOT sufficient to prove that a parallelogram is a square?

• The diagonals are both congruent and perpendicular.

• The diagonals are congruent and one pair of adjacent sides are congruent.

• The diagonals are perpendicular and one pair of adjacent sides are congruent.

• The diagonals are perpendicular and one pair of adjacent sides are perpendicular.

A parallelogram must be a rhombus if its diagonals

• are congruent

• bisect each other

• do not bisect its angles

• are perpendicular to each other

In the diagram, if triangle ABE is congruent to triangle CDF and AEFC is drawn, then it could be proven that quadrilateral ABCD is a

• square

• rhombus

• rectangle

• parallelogram

A quadrilateral has diagonals that are perpendicular but not congruent. This quadrilateral could be

• a square

• a rhombus

• a rectangle

• an isosceles trapezoid

The coordinates of the vertices of parallelogram CDEH are C(−5,5), D(2,5), E(−1,−1), and H(−8,−1). What are the coordinates of P, the point of intersection of diagonals CE and DH ?

• (-2, 3)

• (-2, 2)

• (-3, 2)

• (-3, -2)