Answer 11 quiz and trivia questions about parallelograms. Chose the right option.
Study Parallelogram Formulas and Calculation Examples.
Question: What is the formula for calculating the area of a parallelogram?
- A) A = base + height
- B) A = base × height
- C) A = base / height
Question: How do you find the perimeter of a parallelogram when you know the base (b) and one adjacent side (a)?
- A) P = 2 × (b + a)
- B) P = 2 × (b - a)
- C) P = 2 × (b + 2a)
Question: If the diagonals of a parallelogram are equal, what kind of parallelogram do you have?
- A) Rhombus
- B) Rectangle
- C) Square
Question: What is the formula for finding the length of the diagonal (x) in a parallelogram using the Law of Cosines?
- A) x = √(a^2 + b^2 + 2ab * cos(A))
- B) x = √(a^2 + b^2 - 2ab * cos(A))
- C) x = √(a^2 - b^2 + 2ab * cos(A))
Question: If one of the interior angles in a parallelogram measures 50 degrees, what is the measure of the opposite angle (α)?
- A) 130 degrees
- B) 50 degrees
- C) 30 degrees
Question: What is the formula for calculating the height (h) of a parallelogram when you know the area (A) and base (b)?
- A) h = A × b
- B) h = A / b
- C) h = A + b
Question: In a parallelogram with diagonals d1 = 12 inches and d2 = 9 inches, what is the length of side "a" if the angle γ between the diagonals is 60 degrees?
- A) 4 inches
- B) 6 inches
- C) 8 inches
Question: If you have a parallelogram with sides a = 10 feet and b = 8 feet, what is the length of the diagonal "x" when the included angle A is 120 degrees?
- A) 10 feet
- B) 12 feet
- C) 14 feet
Question: How can you find the area of a parallelogram with sides defined by vectors "a" and "b"?
- A) A = |a + b|
- B) A = |a - b|
- C) A = |a × b|
Question: If you know the area (A) and one of the altitudes (ha) of a parallelogram, how can you find the length of side "a"?
- A) a = A / ha
- B) a = ha / A
- C) a = A + ha
Question: What is the formula to find the sides of a parallelogram (a and b) when you have its perimeter (P) and one of the sides (a or b)?
- A) a = (P / 2) - b
- B) a = (P / 2) + b
- C) a = (P / 2) × b
