Questions and Answers
What is the definition of a midpoint?
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
