Questions and Answers
What is a point?
What is a line?
Made up of points with no thickness or width.
What is a plane?
A flat surface made up of points and extends indefinitely in all directions.
What are collinear points?
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What are non-collinear points?
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What are coplanar points?
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What are non-coplanar points?
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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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What is the midpoint formula?
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What is a segment bisector?
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What is a ray?
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What is an angle?
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What is a vertex?
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What is a right angle?
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What is an acute angle?
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What is an obtuse angle?
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What are congruent angles?
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What are adjacent angles?
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What are vertical angles?
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What are complementary angles?
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What are supplementary angles?
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What is a linear pair?
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What does it mean for lines to be perpendicular?
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What is an angle bisector?
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Study Notes
Geometry Basics Vocabulary
- Point: Represents a location with no size or shape; foundational unit in geometry.
- Line: Composed of infinitely many points, has length but no thickness or width; extends infinitely in both directions.
- Plane: A flat two-dimensional surface made up of points; extends indefinitely in all directions.
- Collinear Points: Points that exist on the same straight line; important for defining linear relationships.
- Non-Collinear Points: Points that do not lie on a single straight line; essential in establishing dimensions in space.
- Coplanar Points: Points that lie within the same plane; fundamental for discussing geometric shapes.
- Non-Coplanar Points: Points that do not reside in the same plane; critical for understanding three-dimensional space.
- Line Segment: Part of a line that consists of two distinct endpoints; measurable length.
- Distance Formula: A mathematical tool used to calculate the distance between two points in a coordinate system, expressed as ( \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ).
- Congruent Segments: Two segments that have identical lengths; significant in construction and proof work.
- Midpoint Formula: Formula for finding the midpoint of a line segment, given by ( \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) ).
- Segment Bisector: A line, ray, or plane that divides a segment into two equal parts at the midpoint.
- Ray: Part of a line that extends infinitely in one direction, having one endpoint.
- Angle: Formed by the intersection of two rays at a common endpoint, indicates rotational measurement.
- Vertex: The point where two sides of an angle meet; essential reference point in angular measurements.
- Right Angle: An angle measuring exactly 90 degrees; important in defining perpendicular lines.
- Acute Angle: An angle measuring less than 90 degrees; significant in various geometric calculations.
- Obtuse Angle: An angle measuring more than 90 degrees but less than 180 degrees; crucial for various applications.
- Congruent Angles: Angles that share the same measure; important for triangle and shape congruency conditions.
- Adjacent Angles: Two angles that share a common vertex and side, and do not overlap; crucial for angle relationships.
- Vertical Angles: Angles that are opposite each other when two lines intersect; always equivalent in measure.
- Complementary Angles: Two angles whose measures sum to 90 degrees; useful for solving geometric problems.
- Supplementary Angles: Two angles whose measures sum to 180 degrees; often encountered in linear pair scenarios.
- Linear Pair: A pair of adjacent angles that form a straight line and are supplementary.
- Perpendicular Lines: Lines that intersect at a right angle (90 degrees); fundamental in constructing squares and rectangles.
- Angle Bisector: A line or ray that splits an angle into two equal parts, essential for geometric constructions and proofs.
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Test your knowledge of essential vocabulary in geometry with this set of flashcards. Each term includes its definition to help reinforce your understanding of fundamental concepts. Perfect for students preparing for their Unit 1 test on geometry basics.