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Worksheet: Properties of Parallelograms
Q4:
Which of the following statements must be true about a parallelogram?
- AIt has four right angles.
- BIt has four sides of equal length.
- CIt has one pair of parallel sides.
- DIt has two pairs of parallel opposite sides.
- EIt has four congruent sides.
Q5:
How many altitudes are there in a parallelogram?
Q6:
In the figure shown, , , and . Determine and .
- A ,
- B ,
- C ,
- D ,
Q7:
Which of the following are a base and its corresponding altitude in the given parallelogram?
- A base: , altitude:
- B base: , altitude:
- C base: , altitude:
- D base: , altitude:
Q8:
In the figure below, given that is a parallelogram, find .
- A
- B
- C
- D
Q9:
is a parallelogram such that , , and . Determine the coordinates of vertex .
- A
- B
- C
- D
- E
Q10:
Find .
- A
- B
- C
- D
Q11:
Which of the following statements is not true?
- A Squares have four congruent angles and sides.
- B Opposite sides in a parallelogram are parallel.
- C Rhombuses have four congruent sides.
- D Parallelograms have exactly one pair of parallel sides.
- E Rectangles have four right angles.
Q12:
Find .
- A
- B
- C
- D
Q13:
Is the following statement true or false? In a parallelogram, there is a pair of opposite sides that do not have to be parallel.
- Afalse
- Btrue
Q14:
Find the lengths of and .
- A ,
- B ,
- C ,
- D ,
Q15:
In the figure, and are parallelograms. Find .
- A
- B
- C
Q16:
In parallelogram , suppose and . How are the lengths and related?
- A
- B
- C
Q17:
Given that is a parallelogram, find the area of triangle .
Q18:
In parallelogram , suppose . What is ?
Q19:
Determine whether this statement is true or false: All parallelograms are regular polygons.
- Afalse
- Btrue
Q20:
In the following figure is a parallelogram. What is the measure of ?
Q21:
Is the following statement true or false? In a parallelogram, opposite sides are parallel and equal in length.
- Atrue
- Bfalse
Q22:
is a parallelogram, where the coordinates of the points , , and are , , and , respectively. Find the coordinates of the vertex .
- A
- B
- C
- D
Q23:
Given that is a parallelogram, find .
Q24:
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 contains 2 pairs of parallel sides.
- EIt has 2 sets of perpendicular and parallel sides.
Q25:
What is the sum of the sizes of any two consecutive angles in a parallelogram?
- A
- B
- C
- D