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.
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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.
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