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?
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What defines a right angle?
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What is the measure of an obtuse angle?
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What defines a straight angle?
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What defines congruent angles?
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What is the definition of an angle bisector?
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What defines an angle trisector?
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What are complementary angles?
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What are supplementary angles?
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What is defined by a linear pair of angles?
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What defines equilateral polygons?
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What defines equiangular polygons?
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What characterizes perpendicular lines?
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What does the Segment Addition Postulate state?
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What does the Angle Addition Postulate state?
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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.
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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.
