Questions and Answers
What is a point?
Which of the following defines a line?
What is a plane?
What are collinear points?
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What are coplanar points?
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What defines a line segment?
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What are congruent segments?
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What is a midpoint?
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What defines a ray?
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What are parallel lines?
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What is an angle?
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What is an angle bisector?
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What are perpendicular lines?
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What is a perpendicular bisector?
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What is an acute angle?
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What defines 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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What is a linear pair of angles?
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What are vertical angles?
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What are congruent angles?
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What are complementary angles?
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What are supplementary angles?
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What is perimeter?
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What is a regular polygon?
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What defines an equilateral polygon?
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What defines an equiangular polygon?
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What is a diagonal of a polygon?
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What is an altitude?
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What is a median?
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What defines an acute triangle?
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What defines a right triangle?
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What defines an obtuse triangle?
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What is an equiangular triangle?
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What defines a scalene triangle?
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What defines an isosceles triangle?
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What defines an equilateral triangle?
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What defines congruent triangles?
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What defines a trapezoid?
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What defines a kite in geometry?
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What defines a parallelogram?
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What is a rhombus?
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What defines a rectangle?
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What is a square?
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What is a circle?
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What defines a radius?
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What defines a diameter?
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What defines congruent circles?
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What defines concentric circles?
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What is a minor arc?
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What is a major arc?
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What is a semicircle?
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What is a chord?
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What is a tangent?
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What is a secant?
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Study Notes
Basic Geometric Terms
- Point: Represents a precise location in space without any dimension.
- Line: A straight collection of infinitely many points extending in two directions.
- Plane: A flat two-dimensional surface that extends infinitely in width and length, but has no thickness.
Relationships and Configurations
- Collinear Points: A set of points that all lie on the same straight line.
- Coplanar Points: Points that all reside on the same plane.
Line Concepts
- Line Segment: A part of a line defined by two endpoints and all points in between.
- Congruent Segments: Line segments that share identical lengths.
- Midpoint: A point on a segment that divides it into two equal lengths.
Rays and Angles
- Ray: A part of a line that starts at one point and extends infinitely in one direction.
- Angle: Formed by two noncollinear rays sharing a common endpoint called the vertex.
- Angle Bisector: A ray that divides an angle into two equal angles.
Types of Lines and Their Intersections
- Parallel Lines: Lines in the same plane that never intersect.
- Perpendicular Lines: Lines that intersect at right angles (90 degrees).
- Perpendicular Bisector: A line that bisects another line segment at a right angle.
Angle Classifications
- Acute Angle: Measures less than 90 degrees.
- Right Angle: Measures exactly 90 degrees.
- Obtuse Angle: Measures more than 90 degrees.
- Straight Angle: Measures exactly 180 degrees, forming a straight line.
Angle Relationships
- Linear Pair of Angles: Two adjacent angles that sum to 180 degrees (supplementary).
- Vertical Angles: Opposite angles formed by the intersection of two lines, usually appearing as an "X". They are congruent.
- Congruent Angles: Angles that have identical measures.
- Complementary Angles: Two angles whose measures sum to 90 degrees.
- Supplementary Angles: Two angles whose measures sum to 180 degrees.
Shapes and Their Properties
- Perimeter: The total length of the boundary of a polygon.
- Regular Polygon: A polygon that is both equilateral (all sides equal) and equiangular (all angles equal).
- Equilateral Polygon: A polygon in which all sides are congruent.
- Equiangular Polygon: A polygon with all angles equal.
Special Segments in Polygons
- Diagonal of Polygon: A segment connecting two nonadjacent vertices.
- Altitude: A perpendicular segment from a vertex to the opposite side or its extension.
- Median: A segment drawn from a vertex to the midpoint of the opposite side.
Triangle Classifications
- Acute Triangle: Contains three acute angles.
- Right Triangle: Contains exactly one right angle.
- Obtuse Triangle: Contains exactly one obtuse angle.
- Equiangular Triangle: All angles equal, each measuring 60 degrees.
- Scalene Triangle: All sides have different lengths.
- Isosceles Triangle: At least two sides are of equal length.
- Equilateral Triangle: All three sides and angles are equal.
Quadrilaterals
- Trapezoid: A quadrilateral with one pair of parallel sides.
- Kite: A quadrilateral with two pairs of adjacent congruent sides.
- Parallelogram: Opposite sides are parallel and equal.
- Rhombus: A parallelogram with all sides equal.
- Rectangle: A parallelogram with all angles equal (90 degrees).
- Square: A rectangle that is also a rhombus (equal sides).
Circle Geometry
- Circle: A set of all points equidistant from a central point (the radius).
- Radius: Distance from the center of the circle to any point on the circle.
- Diameter: A chord that passes through the center of the circle.
- Congruent Circles: Circles with the same radius.
- Concentric Circles: Circles with the same center but different radii.
Arc Measurements
- Minor Arc: An arc measuring less than 180 degrees, labeled with two points.
- Major Arc: An arc measuring more than 180 degrees, labeled with three points.
- Semicircle: An arc measuring exactly 180 degrees.
- Chord: A line segment connecting any two points on a circle.
- Tangent: A line that touches the circle at exactly one point.
- Secant: A line that intersects the circle at two points.
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Test your understanding of essential geometry terms with these flashcards. This quiz covers fundamental concepts such as points, lines, planes, and more. Perfect for Pre-AP Geometry students looking to solidify their knowledge.