Segment Lengths and Midpoints

This video tutorial covers lesson 1-2 on measuring and constructing segments. It begins with an introduction to the objectives, which include using the length and midpoint of a segment and constructing midpoints of congruent segments. The tutorial explains the segment addition postulate with examples, followed by a section on using midpoints. It concludes with a practical guide on constructing congruent segments and segment bisectors using a compass and straight edge.

What is the main objective of lesson 1-2?

• To explore the concept of parallel lines

• To understand the properties of triangles

• To use length and midpoint of a segment

• To learn about angles and their measures

What should you do before continuing with the video?

• Open the book and copy the pages

• Discuss with a classmate

• Solve a set of problems

• Watch a related video

According to the Segment Addition Postulate, if a segment is divided into two parts, what can be said about the parts?

• The second part is twice the first

• The parts are equal in length

• The sum of the parts equals the whole segment

• The first part is longer than the second

In the example problem, what is the expression for segment DE?

• 5x - 2

• 2x + 3

• 3x - 1

• 4x + 1

What is the value of x in the example problem using the Segment Addition Postulate?

• 5

• 3

• 2

• 4

What is the length of segment DE after solving for x?

• 12

• 13

• 10

• 11

What is a midpoint in geometry?

• A point that is outside the segment

• A point at the end of a segment

• A point that divides a segment into two equal parts

• A point that is closer to one end of a segment

In the midpoint example, what is the expression for segment AX?

• 2x

• 3x - 2

• 4x + 1

• 5x - 3

What is the value of x in the midpoint example problem?

• 1

• 4

• 2

• 3

What is the length of segment AB in the midpoint example?

• 9

• 7

• 6

• 8