Questions and Answers
What is the definition of congruence?
What does the midpoint of a segment do?
It divides the segment into 2 equal parts.
What does the Segment Addition Postulate state?
If A, B, and C are collinear points and B is between A and C, then AB + BC = AC.
The Reflexive Property of Congruence states that for any segment AB, AB ≅ BC.
Signup and view all the answers
According to the Symmetric Property of Congruence, if AB ≅ CD, then CD ≅ AB.
Signup and view all the answers
The Transitive Property of Congruence asserts that if AB ≅ CD and CD ≅ EF, then AB ≅ EF.
Signup and view all the answers
Study Notes
Definitions of Key Terms
- Congruence: Segments AB and CD are congruent if they have equal measures, represented as AB ≅ CD implies AB = CD.
- Midpoint: The midpoint (M) of a segment divides it into two equal parts, ensuring AM = MB for segment AB.
Fundamental Principles
- Segment Addition Postulate: For collinear points A, B, and C, if B lies between A and C, then the sum of segments AB and BC equals segment AC (AB + BC = AC).
- Reflexive Property of Congruence: A segment is always congruent to itself; thus, for any segment AB, it holds that AB ≅ AB.
- Symmetric Property of Congruence: If segment AB is congruent to segment CD, then segment CD is also congruent to segment AB (if AB ≅ CD, then CD ≅ AB).
- Transitive Property of Congruence: If segment AB is congruent to segment CD and segment CD is congruent to segment EF, then segment AB is congruent to segment EF (if AB ≅ CD and CD ≅ EF, then AB ≅ EF).
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on key terms and principles in geometry, including congruence, midpoint, and essential properties of segments. This quiz covers important concepts essential for understanding basic geometric relationships.
