Geometry Area and Height Quiz

The height of a parallelogram is the distance between its parallel sides. What is the correct way to find the height of a parallelogram when it is tilted at an angle?

• Measure the length of one of the sides

• Measure the angle between the sides

• Measure the length of the diagonal

• Measure the perpendicular distance between the parallel sides

What is the height of a triangle?

• The distance from the vertex to the midpoint of the base

• The distance from the top vertex straight down to the base

• The distance from the top vertex to the opposite vertex

• The length of the longest side

In a trapezoid, which of the following is the height?

• The distance between the parallel sides

• The length of the longer base

• The difference between the two bases

• The distance from one vertex to the opposite vertex

When a parallelogram is rotated, what remains unchanged about the height?

• The height remains the same, as long as the base stays the same

• The height doubles when the parallelogram rotates

• The height is always half the base

• The height changes based on the angle of rotation

What is the formula for the area of a trapezoid?

• base × height

• ½ × (base1 + base2) × height

• side × side

• 2 × base × height

What is the area of a parallelogram with a base of 10 cm and a height of 4 cm?

• 14 cm²

• 40 cm²

• 30 cm²

• 20 cm²

A triangle has a base of 12 m and a height of 6 m. What is its area?

• 72 m²

• 18 m²

• 36 m²

• 24 m²

The area of a trapezoid is calculated by the formula: Area = (base₁ + base₂) × height ÷ 2. If base₁ = 8 cm, base₂ = 6 cm, and the height is 5 cm, what is the area of the trapezoid?

• 35 cm²

• 30 cm²

• 40 cm²

• 45 cm²

Find the area of a triangle with a base of 15 m and a height of 8 m.

• 60 m²

• 120 m²

• 100 m²

• 80 m²

A trapezoid has bases 5 cm and 7 cm, and height of 4 cm. What is the area?

• 20 cm²

• 24 cm²

• 48 cm²

• 60 cm²