Understanding Mid Segments in Trapezoids

The video tutorial explains the concept of a mid segment in a trapezoid, which connects the two legs and is parallel to the bases. It demonstrates how to calculate the length of a mid segment by averaging the lengths of the two bases. The tutorial includes a straightforward example and discusses how to work backwards to find a base if the mid segment and one base are known. Additionally, it covers an algebraic approach to solving for a base when given a mid segment, using a step-by-step method to simplify the equation.

What is a mid segment in a trapezoid?

• A segment that is perpendicular to the bases

• A segment that connects the two bases

• A segment that connects the two legs and is parallel to the bases

• A segment that bisects the bases

How do you find the length of a mid segment in a trapezoid?

• Divide the length of one base by the other

• Multiply the lengths of the bases

• Subtract the length of one base from the other

• Add the lengths of the bases and divide by two

If you know one base and the mid segment, how can you find the other base?

• Double the known base and add the mid segment

• Add the mid segment to the known base

• Double the mid segment and subtract the known base

• Subtract the mid segment from the known base

In the algebraic equation example, what was the given mid segment length?

• 12.5

• 10

• 15

• 45

What is the first step to simplify the algebraic equation involving a mid segment?

• Add the bases

• Subtract the mid segment

• Divide by 2

• Multiply by 2 to eliminate division

What is the value of x in the equation 3x + 1 + 50 = 2 * 45?

• 1

• 3

• 4

• 2

How can you verify the solution of an algebraic equation involving mid segments?

• By adding the mid segment to the bases

• By substituting the solution back into the equation

• By dividing the mid segment by the bases

• By checking if the sum of the bases equals the mid segment

What is the purpose of doubling the other side of the equation in the algebraic example?

• To subtract the mid segment

• To add more variables

• To eliminate the division by 2

• To make the equation more complex

What is the result of adding the bases 10 and 15 in the example?

• 20

• 30

• 35

• 25

What is the final step in solving the equation for x?

• Multiply by 3

• Divide by 3

• Subtract 3 from both sides

• Add 3 to both sides