Rectangles and Parallelograms

Which characteristic would prove that a quadrilateral is a parallelogram?

• Consecutive angles are equal.

• Opposite angles are supplementary.

• Opposite angles are equal.

Given rectangle ABCD, where the diagonals intersect at point E, AC = 4x + 10 and BD = 5x - 20, find AE.

• 30

• 21

• 65

• 130

Solve for x in the rectangle.

• x=2

• x=7

• x=8

• x=3

ABCD is a rectangle. AB = 14, BC = 9, AC = 22. Find BD.

• 11

• 14

• 9

• 22

The opposite angles of a parallelogram are ...

• complementary

• congruent

• supplementary

• perpendicular

ABCD is a parallelogram. AB = DC = 6cm, and AD = BC = 4cm. Deduce the perimeter of this parallelogram.

• 100 cm

• 20cm

• 36cm

• 40cm

Pick the property that a parallelogram and a rectangle have in common.

• Their diagonals are equal.

• All of their angles are equal.

• All of their sides are equal

• Their opposite sides are parallel and equal.

Which of the following figures is a parallelogram, and which is a rectangle?

• Fig. 1: Parallelogram ; Fig. 2: Rectangle

• Fig. 1 : Rectangle ; Fig 2 : Paralellogram

Pick the property that belongs to a parallelogram.

• Its diagonals are equal.

• Its opposite sides are congruent.

• All of its angles are equal.

• All of its sides are equal.

Answer explanation

A parallelogram is a quadrilateral having its opposite sides parallel.

There are two correct ways, stated in this question, that we can use to prove that a quadrilateral is a parallelogram. Pick the two most suitable answers.

• The opposite angles are equal.

• The diagonals are equal.

• The opposite sides are parallel

• All of its angles are equal.