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82 Cards in this Set
- Front
- Back
The measure of how likely an event is to occur, when all outcomes are equally likely.
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Probability
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P (event) =
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Number of Favorable Outcomes
------------------------------------ Total Number of Outcomes |
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Two events with no outcomes in common, where one or the other must occur.
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complementary events
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The probabilities of complementary events will always add to ___ or ___
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1 or 100%
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Formula for Complementary Events
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P(event) + P(event) = 1
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An event where two or more events happen one after the other, or at the same time
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compound event
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a compound event where the likelihood of one event does not affect the other(s)
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independent events
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an organized listing of all possible outcomes for an experiment
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sample space
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an organizing tool used to find the sample space for compound events
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tree diagram
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How can the sample space be organized?
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By using a list, a table or a tree diagram.
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The probability of an event must be expressed as a percent.
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False
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two rays with a common endpoint
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angle
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on the same line
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collinear
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a point that marks the end of a line segment or ray
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endpoint
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a branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, and planes
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two-dimensional geometry
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an infinite set of points forming a straight path that continues in two directions
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line
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a part of a line bounded by two endpoints
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line segment
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a flat surface that continues in all directions
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plane
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a position in space
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point
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a part of a line that has one endpoint and continues in one direction
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ray
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the point where two line segments, lines, or rays meet to form an angle
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vertex
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Name four things that can be contained in a plane?
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a point, a line, a ray, an angle
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an angle measuring less than 90 degrees
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acute angle
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the unit of angle measure
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degrees
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an angle measuring greater than 90 degrees
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obtuse angle
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a tool used to measure angles
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protractor
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an angle measuring 90 degrees
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right angle
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the angle measuring 180 degrees
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straight angle
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two angles with a common vertex and side
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adjacent angles
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two angles whose sum is 90 degrees
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complementary angles
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angles that have the same measure
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congruent angles
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lines that intersect and create right angles
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perpendicular lines
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two angles whose sum is 180 degrees
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supplementary angles
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congruent angles that are opposite from one another at the intersection of two lines
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vertical angles
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T/F - Vertical angles are always congruent
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True
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T/F - Perpendicular lines meet at 90 degree angles
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True
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T/F - Complementary angles are a pair of angles whose measures total 90 degrees
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True
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If two lines intersect, what angles are congruent?
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Opposite angles and Vertical angles
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If two lines intersect, what angle measures will add to 180 degrees?
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Adjacent angles and Supplementary Angles
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If two lines intersect and one angle measures 25 degrees, what are the measures of the other angles?
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25 degrees and 155 degrees
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If two lines are perpendicular, what is the measure of the vertical angles?
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90 degrees
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If two angles are complementary and congruent, what is the measure of each angle?
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45 degrees
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Two angles with a common vertex and side
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adjacent angles
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Two angles whose sum is 90 degrees
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complementary angles
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Angles that have the same measure
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congruent angles
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Lines that intersect and create right angles
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perpendicular lines
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Two angles whose sum is 180 degrees
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supplementary angles
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Congruent angles that are opposite from one another at the intersection of two lines
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vertical angles
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If two lines intersect, what angles are congruent?
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opposite angles and vertical angles
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If two lines intersect, what angle measures will add up to 180 degrees?
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adjacent angles and supplementary angles
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a triangle with no angle measuring 90 degrees or more
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acute triangle
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a triangle whose three sides all are the same length
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equilateral triangle
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a triangle with at least two equal sides
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isosceles triangle
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a triangle with one angle that measures more than 90 degrees
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obtuse triangle
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a triangle with one angle that measures 90 degrees
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right triangle
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a triangle with no sides equal
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scalene triangle
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A triangle has an angle that measures 90 degrees. What type of triangle could it be?
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Scalene, Isosceles, Right
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What type of triangle has exactly two acute angles?
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Right, Obtuse
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What type of triangle can have one right angle?
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Scalene and Isosceles
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Lines that never cross one another and are the same distance apart at all times
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parallel lines
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A quadrilateral with two sets of parallel, congruent sides
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parallelogram
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A polygon with four sides
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quadrilateral
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A parallelogram with four right angles
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rectangle
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A parallelogram with four congruent sides
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rhombus
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A parallelogram with four right angles and four congruent sides
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square
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T/F - A parallelogram is a quadrilateral
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True
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A rectangle is a _____ and ____.
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Quadrilateral and Parallelogram
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A quadrilateral has four right angles. What figure could it be?
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parallelogram, square, rectangle, rhombus
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a polygon with ten sides
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decagon
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a polygon with twelve sides
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dodecagon
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having sides of equal length
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equilateral
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a polygon with seven sides
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heptagon
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a polygon with six sides
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hexagon
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a polygon with eight sides
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octagon
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a polygon with five sides
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pentagon
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a closed figure made up of line segments
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polygon
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a polygon whose sides are all congruent
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regular polygon
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polygons that have the same size and shape
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congruent figures
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angles in the same position on similar figures
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corresponding angles
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sides in the same position on similar figures
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corresponding sides
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angles or sides in the same position on similar figures
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corresponding parts
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polygons that have the same shape but not the same size
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similar figures
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