Segment Lengths and Addition Postulate

The video tutorial explains how to find the lengths of segments using coordinates and the segment addition postulate. It introduces the postulate, which states that if a point is between two endpoints on a segment, the sum of the lengths of the two smaller segments equals the length of the entire segment. Two examples are provided: one to find the length of segment DC and another to find the length of segment BD, using algebraic expressions and solving for variables.

What is the main topic of this video?

• Finding angles using coordinates

• Understanding geometric transformations

• Calculating area of shapes

• Finding lengths of segments using coordinates and segment addition

According to the Segment Addition Postulate, if W is between F and X, what is true?

• FW + WX = FX

• FW = WX

• FW - WX = FX

• FW + WX = 0

In Example 1, what is the expression for the length of segment ED?

• x + 11

• 2x + 10

• x + 16

• x + 14

What is the total length of segment EC in Example 1?

• 16

• 12

• 14

• 10

After solving for x in Example 1, what is the value of x?

• -4

• 0

• 2

• 4

What is the final length of segment DC in Example 1?

• 14

• 10

• 8

• 12

In Example 2, what is the expression for the length of segment AB?

• x + 16

• 10

• x + 24

• x + 11

What is the length of segment CD in Example 2?

• x + 11

• x + 24

• x + 16

• 10

What is the expression for the length of segment BD in Example 2?

• x + 11

• x + 16

• x + 24

• 10

What is the expression for the length of segment AC in Example 2?

• x + 11

• x + 16

• x + 24

• 10