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Questions and Answers
What is the definition of a midpoint?
What is the definition of a midpoint?
- M is the midpoint of AB (correct)
- AM = BM (congruent) (correct)
- A point that divides a segment into two equal parts (correct)
- None of the above
What does the segment addition postulate state?
What does the segment addition postulate state?
AB + BC = AC
What does the angle addition postulate express?
What does the angle addition postulate express?
The measure of an angle can be expressed as the sum of the measures of two smaller angles.
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Study Notes
Midpoint Definition
- A midpoint divides a segment into two equal parts.
- If M is the midpoint of segment AB, then segments AM and BM are congruent (AM = BM).
Segment Addition Postulate
- States that the total length of a segment is the sum of its smaller segments.
- Expressed as AB + BC = AC, where points A, B, and C are collinear.
Angle Addition Postulate
- States that when two angles are adjacent, the measure of the larger angle is equal to the sum of the measures of the two smaller angles.
- Indicates that if point D lies in the interior of angle ∠ABC, then m∠ABD + m∠DBC = m∠ABC.
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