Worksheet: Special Quadrilaterals
In this worksheet, we will practice using the properties of special quadrilaterals to solve problems involving algebraic expressions, equations, and coordinates.
Q1:
Given that , determine the length of .
Q3:
In parallelogram , , , and . What is the perimeter of ?
Q4:
What can you say about the diagonals of a parallelogram?
- AThey are equal in length.
- BThey bisect each other.
- CThey are perpendicular.
Q5:
Is any quadrilateral whose diagonals bisect each other a parallelogram?
- Ayes
- Bno
Q6:
Are the two diagonals of a parallelogram perpendicular?
- Ano
- Byes
Q7:
If is a parallelogram, find the value 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,
Q10:
In a parallelogram , the coordinates of , , and are , , and , respectively. Find the coordinates of the point at which the two diagonals intersect, and then determine the coordinates of point .
- A,
- B,
- C,
- D,
Q11:
is a parallelogram where the coordinates of are and the coordinates of are . Find the coordinates of the point of intersection of the two diagonals of .
- A
- B
- C
- D
Q12:
In parallelogram , the coordinates of are and those of the intersection of the diagonals are . What are the coordinates of point ?
- A
- B
- C
- D
- E
Q14:
In parallelogram , , , and . What is the perimeter of ?
Q15:
If is a parallelogram, find the value of .
Q16:
is a parallelogram where the coordinates of are and the coordinates of are . Find the coordinates of the point of intersection of the two diagonals of .
- A
- B
- C
- D
Q18:
In a parallelogram , the coordinates of , , and are , , and , respectively. Find the coordinates of the point at which the two diagonals intersect, and then determine the coordinates of point .
- A,
- B,
- C,
- D,
Q19:
The perimeter of the rectangle is the same as the perimeter of the square.
What is the area of the square?
Q22:
Given that is a rectangle, where and , find .
Q23:
In this rectangle, , , and . Find the value of .
Q24:
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
