Math (4th Quarter Exam Reviewer)

Cards (91)

  • Angle
    Geometric figure formed by joining two rays at their endpoints. The vertex is the point where the rays meet, and the sides are the rays making up an angle.
  • Angle measure

    Rotation or opening between the sides of an angle, measured in degrees (°) or radians
  • Classifications of angles by measure

    • Acute (less than 90°)
    • Right (exactly 90°)
    • Obtuse (greater than 90° but less than 180°)
    • Straight (exactly 180°)
    • Reflex (greater than 180° but less than 360°)
  • Acute angle
    Angle with measure less than 90°
  • Right angle
    Angle with measure exactly 90°
  • Obtuse angle

    Angle with measure greater than 90° but less than 180°
  • Straight angle

    Angle with measure exactly 180°
  • Reflex angle
    Angle with measure greater than 180° but less than 360°
  • Angle Addition Postulate
    If a point O lies in the interior of ∠ABC, then m∠ABC = m∠ABO + m∠OBC
  • Angle bisector
    Line, line segment, or ray that divides an angle into two equal parts
  • Intersections of roads are often L-shaped (right angles) to minimize traffic when cars turn
  • Angle bisector
    A line, line segment, or ray that bisects an angle; it divides the angle into two equal parts
  • Angle bisector
    • ∠ADC is bisected by DB into congruent angles ∠ADB and ∠BDC
  • Each of the two resulting angles from an angle bisector has a measure that is half of the measure of the original angle
  • Angles
    • Acute angle: measure less than 90°
    • Right angle: measure exactly 90°
    • Obtuse angle: measure more than 90° but less than 180°
    • Straight angle: measure exactly 180°
    • Reflex angle: measure more than 180° but less than 360°
  • Angle Addition Postulate

    1. Vertices of the individual angles must be the same
    2. Angles must share a common side
  • If you add up marginal utility for each unit you get total utility
  • Angle types in a triangle
    • Acute angles inside the triangle
    • Reflex angles outside the triangle
  • Finding the angle formed when a triangular and square tabletop are joined

    Angle Addition Postulate: m∠ = 60° + 90° = 150°
  • Angles in an isosceles triangle tent

    • Apex angle: 50°
    • Resulting angles from angle bisector: 25°
  • An angle is a geometric figure formed by joining two rays at their endpoints
  • The point where the rays meet is called the vertex, and the rays making up the angle are called the sides
  • Congruent angles

    Angles with the same measure
  • An angle measurement is the rotation or opening between the sides of an angle
  • Angle bisector
    Line that divides an angle into two congruent parts
  • Angles are classified according to their measurement
  • The Angle Addition Postulate states that when two angles are placed side by side, their measures may be added to form a bigger angle
  • Adjacent angles

    Angles that have the same vertex and a common side between them
  • An angle bisector is a line, a line segment, or a ray that bisects or divides an angle into two equal parts
  • Linear pair
    A pair of adjacent and supplementary angles
  • When two lines intersect, they form angles that are adjacent and supplementary
  • Vertical angles

    Nonadjacent angles formed when two lines intersect
  • Vertical angles are equal to each other
  • Supplementary angles

    Angles that add up to 180°
  • The sum of the measures of a linear pair is 180°
  • Statistics
    A branch of mathematics that deals with collecting, organizing, and interpreting data to address a certain phenomenon
  • Population
    The set of all data under a study
  • Sample
    The set of data drawn from the population
  • Descriptive statistics

    • A branch of statistics that summarizes and describes important characteristics of the population or a sample
  • Solving Example 4
    1. At 6:00 am, the hour and minute hands form a 180° angle
    2. For congruent angles, the second hand must bisect this angle at 90°
    3. The second hand will point to 3 (90°) 15 seconds after 6:00 am