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Questions and Answers
What is an acute angle?
What is an acute angle?
- Angle equal to 90
- Angle more than 0 but less than 90 (correct)
- Angle more than 90 but less than 180
- Angle equal to 180
What defines an adjacent angle?
What defines an adjacent angle?
Angles that have a common vertex and side but no common interior points
What is an angle?
What is an angle?
Figure formed by two rays with a common endpoint
What is an angle bisector?
What is an angle bisector?
What does collinear mean?
What does collinear mean?
What is coplanar?
What is coplanar?
What is equiangular?
What is equiangular?
What is an equilateral polygon?
What is an equilateral polygon?
What is the intersection in geometry?
What is the intersection in geometry?
What defines a line?
What defines a line?
What is a line segment?
What is a line segment?
What is a linear pair?
What is a linear pair?
What is the midpoint of a line segment?
What is the midpoint of a line segment?
What defines an obtuse angle?
What defines an obtuse angle?
What does perpendicular mean?
What does perpendicular mean?
What is a plane in geometry?
What is a plane in geometry?
What defines a point?
What defines a point?
What is a polygon?
What is a polygon?
What is a polyhedron?
What is a polyhedron?
What is a ray?
What is a ray?
What is a right angle?
What is a right angle?
What is a segment bisector?
What is a segment bisector?
What does space mean in geometry?
What does space mean in geometry?
What is a straight angle?
What is a straight angle?
What is a supplementary angle?
What is a supplementary angle?
The term 'undefined' can only be explained using examples.
The term 'undefined' can only be explained using examples.
What are vertical angles?
What are vertical angles?
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Study Notes
Angle Types and Properties
- Acute angle: Measures greater than 0° and less than 90°.
- Obtuse angle: Measures greater than 90° and less than 180°.
- Right angle: Exactly 90°.
- Straight angle: Exactly 180°.
- Supplementary angles: Two angles whose measures add up to 180°.
Angle Relationships
- Adjacent angles: Share a common vertex and side, but have no common interior points.
- Linear pair: A pair of adjacent angles that form a straight line.
- Vertical angles: Non-adjacent angles that are formed when two lines intersect.
Line and Segment Definitions
- Angle: Formed by two rays with a common endpoint (the vertex).
- Line: A straight figure that extends infinitely in both directions.
- Line segment: A part of a line that is bounded by two endpoints.
- Ray: A portion of a line that starts at a single endpoint and extends infinitely in one direction.
Points and Planes
- Point: A location with no size or shape; a fundamental concept in geometry.
- Line: Extends infinitely, comprised of points in a single dimension.
- Plane: A flat surface made up of points extending in two dimensions.
Collinearity and Coplanarity
- Collinear points: Points that lie on the same straight line.
- Coplanar figures: Shapes or points that are contained within the same plane.
Polygon Properties
- Polygon: Closed, two-dimensional figure with straight line segments.
- Equiangular polygon: A polygon with all angles congruent.
- Equilateral polygon: A polygon with all sides congruent.
Bisectors
- Angle bisector: A ray that divides an angle into two equal parts.
- Segment bisector: A figure that divides a line segment into two equal halves.
Additional Concepts
- Intersection: The set of points that two figures have in common.
- Space: A three-dimensional set encompassing all points.
- Polyhedron: A solid figure composed of polygonal faces.
- Midpoint: The point that lies exactly halfway along a line segment.
Undefined Terms
- Undefined terms: Concepts that cannot be formally defined but can be understood through examples, such as point, line, and plane.
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