Geometry Statements and Reasons
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Questions and Answers

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?

    AB + BC = AC

    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.

    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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    Description

    Test your knowledge on essential geometry statements and their corresponding reasons with this quiz. Learn about midpoints, segment addition, and angle addition postulates as you go through each flashcard.

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