Lesson Worksheet: Properties of Parallelograms Mathematics
In this worksheet, we will practice determining whether a quadrilateral is a parallelogram or not and using the properties of parallelograms to find unknown angles or lengths.
Q1:
In parallelogram , , , and . What is the perimeter of ?
Q2:
If is a parallelogram, find the value of .
Q3:
Find the value of in the following parallelogram.
Q4:
In the figure below, given that is a rectangle, is a parallelogram, and , find the length of .
Q5:
What can you say about the diagonals of a parallelogram?
- AThey are equal in length.
- BThey bisect each other.
- CThey are perpendicular.
Q6:
Given that is a parallelogram and , find the perimeter of .
Q7:
Given that , determine the length of .
Q8:
The given figure shows a parallelogram .
Using what you know about alternate angles, determine which angle will have the same measure as .
- A
- B
- C
- D
- E
Which angle will be equal in measure to ?
- A
- B
- C
- D
- E
is a common side to triangle and triangle . Using the information from the earlier parts of the question, can we prove that triangles and are congruent? If yes, by which congruence criteria?
- AYes, by ASA
- BNo
- CYes, by SAS
- DYes, by SSS
- EYes, by HL
What will be true of and and of and ?
- A,
- B,
- C,
- D,
What will be true of angles and and of angles and ?
- A,
- B,
- C,
- D,
Q9:
The lengths of two adjacent sides of a parallelogram are units and units. Write an expression for its perimeter.
- A units
- B units
- C units
- D units
- E units
Q10:
Is any quadrilateral whose diagonals bisect each other a parallelogram?
- AYes
- BNo
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