Parallelograms and Rectangles

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.

Tags

CCSS.HSG.CO.C.11

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.

Tags

CCSS.HSG.C.A.3

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

• 100 cm

• 20cm

• 36cm

• 40cm

Tags

CCSS.HSG.CO.C.11

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.

Tags

CCSS.HSG.CO.C.11

The diagonals in a rectangle...

• Are congruent, and intersect at their midpoint

• Are NOT congruent

• None of the given answers.

Tags

CCSS.HSG.CO.C.11

Pick TWO conditions we can use to prove that a parallelogram is a rectangle.

• It has four right angles

• It is a parallelogram having congruent diagonals.

• It is a parallelogram.

• It's obviously a rectangle if you look at it!

Tags

CCSS.HSG.CO.C.11

ABCD is a parallelogram. Given : Â = 90°

How can we prove that this parm is a rectangle?

• Since ABCD literally looks like a rectangle, then ABCD is a rectangle. ("This question is not included in the official exams anyway")

• Since triangle ADB is right at A, then ABCD is a rectangle.

• Since ABCD is a parallelogram and one of its sides is equal to 90°, ABCD is a rectangle (Parm + One right angle)

• None of the given answers.

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

What is the sum of angles in a rectangle?

• 360°

• 180°

• 90°

• 120°

What is the area of the rectangle?

• πxside²

• Length multiplied by width

• S²

• Base multiplied by height divided by two

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B