Podcast
Questions and Answers
What is a segment?
Part of a line consisting of two points and all the points between them.
What is a ray?
The part of a line that starts at an endpoint and extends forever in one direction.
What is a plane?
Flat surface that has no thickness and extends forever.
What is a line?
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What are congruent segments?
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What is a midpoint?
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What does it mean to bisect?
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What is a vertex?
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What are congruent angles?
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What is an adjacent angle?
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What is a linear pair?
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What is a complementary angle?
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What is a supplementary angle?
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What are vertical angles?
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What is a point in geometry?
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What does it mean for points to be collinear?
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What does it mean for points to be coplanar?
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What is construction in geometry?
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What does 'between' mean geometrically?
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What is the interior of an angle?
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What is the exterior of an angle?
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What is perimeter?
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What is area?
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What is a radius?
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What is a diameter?
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What is circumference?
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What is distance in geometry?
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What is a coordinate?
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What is an endpoint?
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What is a postulate?
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What is length in geometry?
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What is a degree?
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What is an acute angle?
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What is a right angle?
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What is an obtuse angle?
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What is a straight angle?
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Study Notes
Basic Geometric Terms
- Segment: Defined as part of a line with two endpoints and all points in between.
- Ray: A part of a line with one endpoint that extends infinitely in one direction.
- Plane: A flat surface with no thickness that extends infinitely in all directions.
- Line: A straight path with no thickness that continues indefinitely.
Segment and Angles
- Congruent Segment: Segments that have identical lengths.
- Midpoint: The specific point that divides a segment into two equal parts.
- Bisect: Refers to dividing something into two equal parts.
Angle Definitions
- Vertex: The common endpoint where the sides of an angle meet.
- Congruent Angles: Angles that have equal measures and are marked with an arc to denote congruency.
- Adjacent Angle: Two angles sharing a common vertex and side without overlapping.
- Linear Pair: A pair of adjacent angles that form a straight line, with noncommon sides as opposite rays.
Angle Relationships
- Complementary Angles: Two angles that add up to 90 degrees.
- Supplementary Angles: Angles that sum to 180 degrees.
- Vertical Angles: Angles formed by intersecting lines that are not adjacent.
Points and Lines
- Point: Identifies a location, represented by a capital letter.
- Collinear: Points that lie on the same straight line.
- Coplanar: Points located on the same plane.
- Endpoint: The terminal point of a segment or starting point of a ray.
Constructions and Positions
- Construction: A method to create geometric figures using tools like a compass and straightedge.
- Between: A point that lies in between two other points but is not necessarily centered.
Angles’ Interior and Exterior
- Interior of an Angle: All points lying between the sides of an angle.
- Exterior of an Angle: All points outside the bounds of an angle.
Measurements
- Perimeter: The total distance around a geometrical figure, calculated by summing the lengths of all sides.
- Area: The total number of square units needed to cover a figure entirely.
- Radius: A segment from the circle's center to any point on the circle, equal to half the diameter.
- Diameter: A segment that passes through the center of a circle, connecting two points on the circle.
Circle Measurements
- Circumference: The total distance around a circle.
- Distance: The absolute difference in coordinates between any two points.
- Coordinate: Represents the specific location of a point in a coordinate system.
Angles and Their Measures
- Length: Synonymous with the distance between two points.
- Degree: Represents 1/360th of a full circular rotation.
- Acute Angle: An angle measuring between 0 and 90 degrees.
- Right Angle: An angle that measures exactly 90 degrees.
- Obtuse Angle: An angle measuring between 90 and 180 degrees.
- Straight Angle: Formed by two opposite rays, measuring exactly 180 degrees.
Fundamental Concepts
- Postulate: A statement accepted as true without requiring proof.
Studying That Suits You
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Description
Test your understanding of key concepts in Geometry with these flashcards from Chapter 1. Learn important terms such as segment, ray, plane, and line, which are fundamental to understanding geometrical principles. Perfect for students looking to reinforce their vocabulary.