# 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: **

True or False: In a parallelogram, opposite sides are parallel and equal in length.

- ATrue
- BFalse

**Q2: **

True or False: All parallelograms are regular polygons.

- ATrue
- BFalse

**Q3: **

Which of the following statements correctly describes a property of the given shape?

- AIt is equilateral.
- BIt contains 2 pairs of perpendicular sides.
- CIt has 4 angles equal in measure.
- DIt has 2 sets of perpendicular and parallel sides.
- EIt contains 2 pairs of parallel sides.

**Q8: **

is a parallelogram such that , , and . Determine the coordinates of vertex .

- A
- B
- C
- D
- E

**Q11: **

What is the sum of the measures of any two consecutive angles in a parallelogram?

**Q19: **

In parallelogram , suppose . What is ?

**Q20: **

Given that is a parallelogram, find .

**Q21: **

In parallelogram , suppose and . How are the lengths and related?

- A
- B
- C

**Q22: **

How many altitudes are there in a parallelogram?

**Q23: **

Which of the following are a base and its corresponding altitude in the given parallelogram?

- Abase: , altitude:
- Bbase: , altitude:
- Cbase: , altitude:
- Dbase: , altitude:

**Q24: **

Which of the following statements is not true?

- AOpposite sides in a parallelogram are parallel.
- BRhombuses have four congruent sides.
- CParallelograms have exactly one pair of parallel sides.
- DSquares have four congruent angles and sides.
- ERectangles have four right angles.

**Q25: **

True or False: In a parallelogram, there is a pair of opposite sides that do not have to be parallel.

- ATrue
- BFalse