Parallelogram Review

• 1=30 ,  2=82,  3=50
• 1=32,  2=98 , 3=50
• 1=30 ,  2=98 , 3=50
• 1=30 , 2=98 , 3=40

Given the coordinates parallelogram PRYZ, find the intersection point of the diagonals.

• (-1.5, -2)

• (1.5, 2.5)

• (-1.5, -1.5)

• (0, -1)

Three vertices of PQRS are P(–3, –2), Q(–1, 4), and S(5, 0). Find the coordinates of vertex R.

• (3,-6)

• (-9,2)

• (7,6)

• (6,7)

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

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)

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.