Questions and Answers
What are congruent segments?
What is the definition of congruent angles?
Angles with equal measures.
What is a midpoint?
Point that divides a segment into two congruent segments.
Define a segment bisector.
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What is an angle bisector?
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What are perpendicular lines?
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Define perpendicular bisector.
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What are supplementary angles?
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Define complementary angles.
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What is a linear pair?
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Linear pairs are supplementary.
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What are vertical angles?
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Vertical angles are congruent.
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What is a right angle?
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All right angles are congruent.
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Define a right triangle.
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What is the reflexive property of congruence?
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Define the transitive property of congruence.
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Study Notes
Key Terms in Geometry
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Congruent Segments: Segments that have equal lengths, essential for establishing equality in geometric proofs.
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Congruent Angles: Angles that possess equal measures, a fundamental concept in angular relationships and constructions.
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Midpoint: A specific point that divides a segment into two equal (congruent) segments, crucial for segment analysis and proofs.
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Segment Bisector: A line or part of a line that intersects a segment at its midpoint, effectively cutting the segment into two congruent parts.
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Angle Bisector: A ray that divides an angle into two congruent angles, important for creating equal angle measures in geometric constructions.
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Perpendicular Lines: Lines that intersect to create a right angle (90 degrees), significant in defining various geometric shapes and properties.
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Perpendicular Bisector: A line or part of a line that is perpendicular to a segment at its midpoint, combining properties of both perpendicular and bisecting lines.
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Supplementary Angles: Two angles whose measures add up to 180 degrees, often forming linear pairs or involved in angle relationships.
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Complementary Angles: Two angles whose measures sum to 90 degrees, often used in right-angle geometry.
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Linear Pair: A pair of adjacent angles whose non-common sides are opposite rays, always resulting in supplementary angles.
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Postulate: A foundational statement accepted as true without proof, such as the statement that linear pairs are supplementary.
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Vertical Angles: Angles that are opposite each other when two lines intersect, non-adjacent and always congruent.
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Theorem: A statement proven based on previously established statements, such as the theorem that vertical angles are congruent.
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Right Angle: An angle that measures exactly 90 degrees, characteristic of certain triangles and important in various geometric contexts.
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Theorem on Right Angles: A theorem stating that all right angles are congruent, establishing equality in right-angle measurements.
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Right Triangle: A triangle that contains one right angle, fundamental in trigonometry and geometry.
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Reflexive Property of Congruence: A property stating that any geometric figure is congruent to itself, vital for ensuring consistency in geometric proofs.
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Transitive Property of Congruence: A property stating that if one figure is congruent to a second, and the second is congruent to a third, then the first is also congruent to the third, essential for establishing relationships among multiple figures.
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Description
This quiz covers key terms and definitions related to congruency in geometry, including congruent segments and angles, as well as concepts like midpoint and bisectors. Enhance your understanding of geometric proofs with these essential flashcards.
