Parallelogram Review

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

• Rectangle

• Rhombus

• Parallelgoram

• Isosceles Trapezoid

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.C.A.3

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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.

Tags

CCSS.HSG.CO.C.11

A parallelogram must be a rhombus if its diagonals

• are congruent

• bisect each other

• do not bisect its angles

• are perpendicular to each other

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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)

Tags

CCSS.HSG.GPE.B.6