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question 6 (multiple choice worth 4 points) (01.06r mc) 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
The Segment Addition Postulate states that if we have three collinear points A, E, and B, then \(AB = AE+EB\). Here, \(AE = 6\) and \(EB=4\), so \(AB=6 + 4=10\). The other options do not justify the length - finding in this context. The Addition Property is more general in an algebraic sense, the Definition of Collinear Points just states they lie on the same line, and the Definition of Mid - point is about a point that divides a segment into two equal parts.
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Segment Addition Postulate