Podcast
Questions and Answers
What is a point?
What is a point?
- Part of a line
- Divides the segment into two equal lengths
- Has infinite length
- A location with no length, width, or depth (correct)
What is the definition of a line?
What is the definition of a line?
Has infinite length but no width or depth; does not bend.
What is a plane?
What is a plane?
An infinite flat surface, or that which has infinite length and width but no depth.
What does congruence mean in geometry?
What does congruence mean in geometry?
Define midpoint.
Define midpoint.
What is a bisector?
What is a bisector?
What are collinear points?
What are collinear points?
What are segments?
What are segments?
What is a ray?
What is a ray?
Define angle.
Define angle.
What is space?
What is space?
What are coplanar lines?
What are coplanar lines?
What are intersecting lines?
What are intersecting lines?
What are parallel lines?
What are parallel lines?
What are adjacent angles?
What are adjacent angles?
Define angle bisector.
Define angle bisector.
What are vertical angles?
What are vertical angles?
What does perpendicular mean?
What does perpendicular mean?
Define perpendicular bisector.
Define perpendicular bisector.
What is a transversal?
What is a transversal?
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Study Notes
Basic Geometric Terms
- Point: A location represented with no dimensions (length, width, depth).
- Line: An infinite length with no width or depth, straight and unbending.
- Plane: An infinitely flat surface defined by infinite length and width, with no depth.
Relationships in Geometry
- Congruence: Describes figures that are identical in size and shape.
- Midpoint: The point that equally divides a line segment into two equal lengths.
- Bisector: A line, ray, or segment that intersects a segment at its midpoint.
Points and Lines
- Collinear Points: At least two points that lie on the same straight line.
- Segments: Portions of a line determined by two endpoints, measurable in length.
- Ray: A part of a line that starts at a point and extends infinitely in one direction.
Angles and Their Properties
- Angle: Formed by the intersection of two rays.
- Adjacent Angles: Angles that share a vertex and a side but do not overlap.
- Angle Bisector: A ray that divides an angle into two equal angles.
Lines in Relation to Each Other
- Space: The complete set of points, extending infinitely in all dimensions (length, width, depth).
- Coplanar Lines: Lines that reside within the same plane.
- Intersecting Lines: Lines that meet at precisely one point.
- Parallel Lines: Lines that remain equidistant from each other with no intersection points.
Special Angle Relationships
- Vertical Angles: Nonadjacent angles created by two intersecting lines.
- Perpendicular Lines: Lines that cross to form a right (90-degree) angle.
- Perpendicular Bisector: A line that intersects a segment at its midpoint and is perpendicular to that segment.
Transversals
- Transversal: A line that crosses two or more lines in a plane, causing a variety of angle relationships.
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