**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