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Geometry - U1 - Vocab and Notation (Geo Tools/Co ...

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  • What is a circle?
    The collection (or set) of all points that are a fixed distance (the radius) away from a fixed point (the center point of the circle).
  • What is a reflex angle?
    An angle with a measure between 180 degrees and 360 degrees.
  • Congruent
    Having the same size and shape
  • What's this notation mean?
    Perpendicular (90 degree angle)
  • Angle Bisector
    A line, segment, or ray that divides an angle into two congruent angles (must pass through vertex).
  • Geometry
    Study of the properties of space (distance, size, shape, and angle)
  • Collinear
    Means "on the same straight line"
  • What is this notation?
    Triangle with vertices D, E, and F.
  • Can a ray be bisected?
    No, because the bisector must pass through the midpoint and a ray has infinite length (no midpoint)
  • Where does this ray begin?
    At point A
  • What's the difference between a circle and an arc?
    An arc is only a portion of a circle, or a subset of the points a fixed radius from a given point.
  • What's this notation?
    Line segment starting at point E and ending at point F
  • A pair of angles whose measures add up to 180 degrees are known as:
    Supplementary Angles
  • Point
    A physical location in space that has no dimensions (length, width, or height)
  • Euclid's Parallel Postulate
    Through any point NOT on a given line, there is exactly one line that can be drawn parallel to the given line.
  • Midpoint
    The point on the line segment that divides it into two segments of equal length
  • Angles that are opposite of each other when two straight lines cross are known as:
    Vertical Angles
  • What's this?
    Point C
  • AC (notation)
    The linear distance between points A and C
  • What's the shortest distance between two points?
    The length of the straight line segment that connects them.
  • What is this?
    An arc with endpoints B and C.
  • Ray
    An infinite set (collection) of points that extends forever in one direction from a starting point.
  • Equilateral Triangle
    Triangle whose three sides are the same length.
  • What does "intersect" mean?
    "Meet at a point"
  • What is a right angle?
    An angle with the measure of 90 degrees
  • Which point is the vertex of this angle?
    A
  • Line
    An infinite set (collection) of points extending forever in two directions.
  • A pair of angles whose measures add up to 90 degrees:
    Complementary Angles
  • What type of geometric object is this?
    A line
  • The amount of rotation needed to rotate one ray about the shared starting point so that it lies on top of the other ray is also known as the...
    MEASURE of an angle
  • Vertex
    The common starting point for the rays of an angle
  • What is an acute angle?
    An angle with a measure between 0 degrees and 90 degrees.
  • What type of geometric object is this?
    A ray
  • What's this notation mean?
    Congruent
  • Segment Bisector
    line, ray, or segment that passes through the midpoint of another segment
  • Angle
    The geometric object created by two rays with a common starting point.
  • Distance
    The length of a straight line segment that connects two points
  • Perpendicular
    Any two lines, segments, or rays that intersect to form strictly 90 degree (right) angles
  • What is a straight angle?
    An angle with the measure of 180 degrees (a straight line).
  • What is an obtuse angle?
    An angle with the measure between 90 degrees and 180 degrees.
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