Question

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. definition of midpoint, definition of collinear points, addition property, segment addition postulate

Explanation:

Step1: Identify segments

We have segment AE = 6 and segment EB = 4. Points A, E, and B are collinear.

Step2: Apply segment - addition postulate

The segment - addition postulate states that if we have three collinear points A, E, and B, then AB=AE + EB.

Step3: Calculate AB

Substitute AE = 6 and EB = 4 into the formula: AB=6 + 4.
AB = 10

Answer:

AB = 10 because of the segment - addition postulate which states that for collinear points A, E, and B, AB=AE + EB, and when AE = 6 and EB = 4, 6+4 = 10.