Properties of Parallelograms Worksheet
This worksheet covers the fundamental properties of parallelograms including side lengths, angles, and diagonals, suitable for Grade 10 Geometry students.
Includes
Standards
Properties of Parallelograms
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following is NOT a property of all parallelograms?
Opposite sides are parallel.
Opposite angles are congruent.
Diagonals are congruent.
Consecutive angles are supplementary.
2. In parallelogram ABCD, if ∠A = 70°, what is the measure of ∠C?
20°
70°
110°
180°
3. In a parallelogram, opposite sides are and .
4. The diagonals of a parallelogram each other.
5. Given a parallelogram PQRS, if PQ = 10 cm and QR = 7 cm, what are the lengths of RS and SP?
6. Construct a parallelogram ABCD where AB = 6 cm, BC = 4 cm, and ∠ABC = 60°. (You may sketch it below or describe the steps).
7. All rectangles are parallelograms.
True
False
8. The diagonals of a parallelogram are always perpendicular.
True
False
9. In the parallelogram shown below, find the values of x and y.
x =
y =