Questions and Answers
What is a definition of congruent segments?
What defines a midpoint?
What is a segment bisector?
What is the measure of an acute angle?
Signup and view all the answers
What defines a right angle?
Signup and view all the answers
What is the measure of an obtuse angle?
Signup and view all the answers
What defines a straight angle?
Signup and view all the answers
What defines congruent angles?
Signup and view all the answers
What is the definition of an angle bisector?
Signup and view all the answers
What defines an angle trisector?
Signup and view all the answers
What are complementary angles?
Signup and view all the answers
What are supplementary angles?
Signup and view all the answers
What is defined by a linear pair of angles?
Signup and view all the answers
What defines equilateral polygons?
Signup and view all the answers
What defines equiangular polygons?
Signup and view all the answers
What characterizes perpendicular lines?
Signup and view all the answers
What does the Segment Addition Postulate state?
Signup and view all the answers
What does the Angle Addition Postulate state?
Signup and view all the answers
Study Notes
Definitions of Congruent Segments and Angles
- Congruent segments have equal measures; if their lengths match, they are congruent.
- Congruent angles also share the same measure; identical angle sizes indicate congruence.
Midpoints and Segment Bisectors
- A midpoint divides a segment into two equal parts, each being a congruent segment.
- A segment bisector (point, line, or ray) also creates two congruent segments from the original segment.
Types of Angles
- Acute angles measure between 0 and 90 degrees.
- Right angles are exactly 90 degrees.
- Obtuse angles fall between 90 and 180 degrees.
- Straight angles are precisely 180 degrees.
Angle Relationships
- Angle bisectors divide an angle into two equal (congruent) angles.
- Angle trisectors split an angle into three congruent angles.
- Complementary angles have measures that sum to 90 degrees.
- Supplementary angles have measures that sum to 180 degrees.
Linear Pairs
- Two angles form a linear pair if they create a straight angle together, indicating their measures total 180 degrees.
Properties of Polygons
- Equilateral polygons have all sides of equal length.
- Equiangular polygons feature all angles being equal in measure.
Perpendicular Lines
- Lines are perpendicular if they intersect at right angles (90 degrees).
Postulates
- Segment Addition Postulate states that if point B is located between points A and C, then the sum of segments AB and BC equals segment AC.
- Angle Addition Postulate indicates that if point P lies within angle RST, then the measure of angle RSP plus the measure of angle PST equals the measure of angle RST.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz features essential geometry definitions that are fundamental for understanding proofs. Key concepts like congruent segments and midpoints are explored, ensuring a firm grasp of foundational terms. Ideal for students looking to strengthen their geometry skills.