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