collinear points A, E and B where AE equals 6 and EB equals 4

Question

collinear points A, E and B where AE equals 6 and EB equals 4

Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why AB = 10.

Segment Addition Postulate
Addition Property
Definition of Collinear Points
Definition of Midpoint

Answer 1

Since A, E, and B are collinear points and E is the midpoint of segment AB, by the Segment Addition Postulate and the Definition of Midpoint, we can determine that AB = AE + EB = 6 + 4 = 10.