Special Parallelograms Worksheet
Explore the properties of special parallelograms including rectangles, rhombuses, and squares with this geometry worksheet.
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Special Parallelograms
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following statements is always true?
A rectangle is a rhombus.
A square is a rectangle.
A parallelogram is a square.
A rhombus is a square.
2. In a rhombus, the diagonals are always:
Congruent
Parallel
Perpendicular
Bisect each other at acute angles
1. All squares are rhombuses.
True
False
2. The diagonals of a rectangle are perpendicular.
True
False
1. A parallelogram with four right angles is called a .
2. A is a quadrilateral with four congruent sides.
3. The diagonals of a square are both and .
1. Explain the relationship between a square, a rectangle, and a rhombus. Use a Venn diagram to illustrate your explanation if helpful.
2. Consider a rectangle ABCD. If AB = 8 cm and BC = 6 cm, what is the length of the diagonal AC? Show your work.
3. For the rhombus below, if angle ADC = 110°, find the measure of angle DAB. What is the length of side AB if the perimeter is 40 units?
Match the property with the special parallelogram (A-D).
1. Diagonals bisect each other and are congruent.
a. Rhombus
2. All four sides are congruent.
b. Rectangle
3. All four angles are right angles.
c. Square
4. Both a rectangle and a rhombus.
d. Parallelogram
1. Plot the points A(1,1), B(4,1), C(4,4), and D(1,4) on the coordinate plane. What type of special parallelogram is ABCD? Justify your answer.