Questions and Answers
What is a point?
What is a line?
Made up of points and has no thickness or width
Define a plane.
Flat surface made up of points that extends infinitely in all directions
What does collinear mean?
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Define coplanar.
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What is a line segment?
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What is the distance formula?
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What are congruent segments?
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Define the midpoint formula.
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What is a segment bisector?
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Define a ray.
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What is an angle?
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What does vertex refer to in geometry?
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What is a right angle?
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Define an acute angle.
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What is an obtuse angle?
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What are congruent angles?
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Define adjacent angles.
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What are vertical angles?
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Define complementary angles.
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What are supplementary angles?
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What is a linear pair?
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Define perpendicular lines.
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What is an angle bisector?
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Study Notes
Basic Geometry Terms
- Point: A location defined with no dimensions—no shape or size.
- Line: A straight path composed of an infinite number of points; has no thickness or width.
- Plane: A two-dimensional flat surface made of points, extending infinitely in all directions.
Relationships Between Points
- Collinear: Describes points that are all located on the same straight line.
- Coplanar: Refers to points that all lie within the same flat surface (plane).
Line Segments and Distance
- Line Segment: A measurable portion of a line consisting of two defined endpoints.
- Distance Formula: A mathematical formula used to calculate the distance between two points on a coordinate plane.
Segments and Midpoints
- Congruent Segments: Segments that possess equal length.
- Midpoint Formula: A method for determining the midpoint between two endpoints of a line segment.
- Segment Bisector: Can be a segment, line, or plane that intersects a segment precisely at its midpoint.
Rays and Angles
- Ray: A part of a line that begins at a point and extends indefinitely in one direction.
- Angle: Formed by the intersection of two rays that share a common endpoint, known as the vertex.
- Vertex: The specific point where two rays or lines meet to form an angle.
Types of Angles
- Right Angle: An angle measuring exactly 90 degrees.
- Acute Angle: An angle measuring less than 90 degrees.
- Obtuse Angle: An angle measuring between 90 degrees and 180 degrees.
- Congruent Angles: Angles that have the identical measurement.
Angle Relationships
- Adjacent Angles: Angles that share a common side and vertex.
- Vertical Angles: Formed by two intersecting lines, located directly opposite each other.
- Complementary Angles: Two angles whose measurements add up to 90 degrees.
- Supplementary Angles: Two angles whose measurements sum to 180 degrees.
- Linear Pair: A pair of adjacent angles that are supplementary.
Special Angle Relationships
- Perpendicular Lines: Lines that intersect forming four right angles (90 degrees).
- Angle Bisector: A ray that divides an angle into two smaller angles of equal measure.
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Description
Test your understanding of the foundational concepts in geometry with this flashcard quiz. From points to planes, each term is defined clearly to help you grasp the basics of geometric principles. Perfect for students beginning their journey in geometry.
