Show that point M is a midpoint on a line | Geometry

The video tutorial explains how to determine if a point is the midpoint of a line segment. It begins by introducing the problem and the concept of a midpoint. The teacher defines the midpoint as a point that divides a line segment into two equal parts. The tutorial then demonstrates solving for the variable X using algebraic expressions and verifies the midpoint by calculating and comparing segment lengths. The conclusion confirms the point as the midpoint by showing equal lengths on both sides.

What is the initial assumption about the point M in the line segment AB?

• M is not related to the midpoint.

• M appears to be the midpoint but needs proof.

• M is the endpoint of the segment.

• M is definitely the midpoint.

What is the definition of a midpoint in a line segment?

• A point that is at the start of the segment.

• A point that divides the segment into two unequal parts.

• A point that is closer to one endpoint than the other.

• A point that divides the segment into two equal parts.

What is the value of X when the segment addition postulate is applied?

• X = 12

• X = 6

• X = 10

• X = 8

How do we confirm that M is the midpoint of AB?

• By showing AM is unrelated to MB.

• By showing AM equals MB.

• By showing AM is longer than MB.

• By showing AM is shorter than MB.

What is the length of AM when X is substituted into the expression?

• 72

• 64

• 48

• 56