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Worksheet: Diagonals of Parallelograms
Q1:
What can you say about the diagonals of a parallelogram?
- AThey are equal in length.
- BThey are perpendicular.
- CThey bisect each other.
Q2:
Is any quadrilateral whose diagonals bisect each other a parallelogram?
- Ayes
- Bno
Q3:
Are the two diagonals of a parallelogram perpendicular?
- Ano
- Byes
Q4:
Is the given quadrilateral a parallelogram?
- Ayes
- Bno
Q5:
Is the given quadrilateral a parallelogram?
- Ano
- Byes
Q6:
Given that , determine the length of .
Q7:
If is a parallelogram, find the value of .
Q8:
If is a parallelogram, find the value of .
Q9:
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 both triangles. Using the information from the earlier parts of the question, can we prove that triangles and are congruent? If yes, by which congruence criteria?
- Ano
- Byes, by
- Cyes, by
- Dyes, by
- Eyes, by
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:
Find the value of in the following parallelogram.
Q11:
Find the value of in the following parallelogram.
Q12:
In parallelogram , , , and . What is the perimeter of ?
Q13:
In parallelogram , , , and . What is the perimeter of ?
Q14:
Given that is a parallelogram and , find the perimeter of .
Q15:
Given that is a parallelogram and , find the perimeter of .
Q16:
Given that and are two parallelograms, and the area of , find the area of .
Q17:
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 ,
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:
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
Q20:
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
Q21:
If is a quadrilateral, , , , and , find the midpoint of and , then determine what type of figure is.
- A , trapezoid
- B , parallelogram
- C , trapezoid
- D , parallelogram
Q22:
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
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