Properties of Quadrilaterals Worksheet

Explore the properties of various quadrilaterals including parallelograms, rectangles, rhombuses, squares, trapezoids, and kites with this comprehensive Grade 12 math worksheet.

Grade 12 Math GeometryProperties of Quadrilaterals

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Multiple ChoiceTrue / FalseFill in the BlanksShort AnswerMatchingCustomGraph

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11CCSS.MATH.CONTENT.HSG.GPE.B.4

Topics

quadrilateralsgeometrygrade 12math

9 sections · Free to use · Printable

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Properties of Quadrilaterals

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following quadrilaterals always has diagonals that bisect each other at right angles?

Parallelogram

Rectangle

Rhombus

Trapezoid

2. A quadrilateral has vertices at A(0,0), B(3,4), C(8,4), and D(5,0). What type of quadrilateral is it?

Rectangle

Square

Parallelogram

Trapezoid

1. All squares are rhombuses.

True

False

2. A trapezoid can have two pairs of parallel sides.

True

False

1. A quadrilateral with exactly one pair of parallel sides is called a .

2. The diagonals of a are congruent and bisect each other.

1. Explain the difference between a rhombus and a square.

Match each property with the quadrilateral it describes.

1. All sides are congruent.

a. Rectangle

2. Opposite angles are congruent.

b. Rhombus

3. Exactly one pair of parallel sides.

c. Parallelogram

4. All angles are right angles.

d. Trapezoid

1. Consider the parallelogram ABCD shown below. If angle A measures 60 degrees, find the measures of angles B, C, and D.

Angle B:

Angle C:

Angle D:

1. Plot the points P(-3, 2), Q(2, 2), R(2, -3), and S(-3, -3) on the coordinate plane. What type of quadrilateral is PQRS? Justify your answer.