Applying the midsegment theorem to find the base of a trapezoid

The video tutorial explains the properties of trapezoids, focusing on the concept of midsegments. It introduces the midsegment formula, which relates the midsegment length to the sum of the bases. The tutorial demonstrates how to solve for an unknown base length using inverse operations and multiplication by the reciprocal. The instructor clarifies the process and concludes with a summary of the key points.

What is the relationship between the midsegment and the bases in a trapezoid?

• The midsegment is parallel to the bases.

• The midsegment is shorter than the bases.

• The midsegment is longer than the bases.

• The midsegment is perpendicular to the bases.

If the midsegment of a trapezoid is 10 and one base is 7, what is the formula to find the other base?

• Midsegment = 1/2 * (Base1 + Base2)

• Midsegment = Base1 - Base2

• Midsegment = 2 * (Base1 + Base2)

• Midsegment = Base1 + Base2

What operation can be used to eliminate a fraction in an equation?

• Division by the reciprocal

• Multiplication by the reciprocal

• Addition

• Subtraction

After multiplying by the reciprocal, what is the next step to solve for the unknown base in the equation 20 = 7 + LK?

• Divide both sides by 7

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

When given the midsegment, what is the process to find one of the bases of a trapezoid?

• Work backward using the midsegment formula

• Subtract the midsegment from the known base

• Use the midsegment formula directly

• Add the midsegment to the known base