Understanding Trapezoids

The video tutorial explains how to determine the lengths of the bases and height of a trapezoid on a grid, and how to calculate its area. It begins by identifying the trapezoid's parameters, then measures the lengths of the bases and height. The area is calculated using the formula: one-half times the sum of the bases times the height. The tutorial also explains the derivation of this formula by comparing the trapezoid to a parallelogram. The video aims to enhance understanding of geometric concepts and calculations related to trapezoids.

What is the task given in the problem involving the trapezoid?

• To find the angles of the trapezoid

• To calculate the volume of the trapezoid

• To determine the lengths of the bases, height, and area

• To find the perimeter of the trapezoid

How long is the shorter base of the trapezoid?

• 6 cm

• 4 cm

• 8 cm

• 10 cm

What is the length of the longer base of the trapezoid?

• 14 cm

• 16 cm

• 10 cm

• 12 cm

How is the height of the trapezoid measured?

• As the diagonal of the trapezoid

• As the distance between the two bases

• As the length of the longer base

• As the length of the shorter base

What is the height of the trapezoid?

• 8 cm

• 7 cm

• 6 cm

• 5 cm

Which formula is used to calculate the area of a trapezoid?

• Base plus height

• Length times width

• One-half times the sum of the bases times the height

• Base times height

What is the calculated area of the trapezoid?

• 52 square centimeters

• 48 square centimeters

• 56 square centimeters

• 60 square centimeters

How is the area formula for a trapezoid derived?

• By using the properties of a circle

• By considering it as a rectangle

• By forming a parallelogram with two trapezoids

• By dividing it into triangles

What shape is formed when two identical trapezoids are combined?

• A rectangle

• A parallelogram

• A triangle

• A square

Why do we take half of the area of the larger parallelogram to find the area of one trapezoid?

• Because the trapezoid is the same size as the parallelogram

• Because the trapezoid is twice the size of the parallelogram

• Because the trapezoid is a quarter of the parallelogram

• Because the trapezoid is half the size of the parallelogram