Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Start Practicing

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