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135 Cards in this Set
- Front
- Back
Acute Angle
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Measures greater the 0 degrees and less the 90 degrees
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Adjacent Angles
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are two angles in the same plane with a common vertex and a common side
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Angle Bisector
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is a ray that divides an angles into two congruent angles
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Area
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is the numbers of nonoverlapping square units of a given size that exactly cover the figure
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Base
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can be the side of a triangle
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Between
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the point that is in the middle of two others
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Bisect
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the line that divides the segment
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Circumfrence
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is the distance around the circle
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Collinear
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Points that lie in the same line
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Complementary Angles
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are two angles whose measures have a sum of 90 degrees
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Congruent Angles
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are angles that have the same measures
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Congruent Segments
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are segments that have the same length
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Construction
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is a way of creating a figure that is more precise
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Coordinate
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a point corresponds to one and only one number on the ruler
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Coordinate Plane
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is a plane that is divided into four regions by a horizontal line and a vertical line
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Coplanar
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Points that lie in the same plane
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Degree
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it is the measure in which angles and circumfrence plays
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Diameter
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is a degment that passes through the center of the circle and whose endpoints are on the circle
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Distance
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between any two points is the absolute value of the difference of the coordinates
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Endpoint
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is a point at one end of a segment or starting point of a ray
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Exterior of an Angle
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is the set of all points outside the angle
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Height
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is a segment of a vertex that forms a right angle with a line containing the base
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Hypotenuse
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the side acriss for the right angle that stretches form one leg to the other
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Image
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the resulting figure
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Interior of an Angle
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the set of all points between the sides of the angle
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Leg
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the two sides that form the right angle
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Length
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the distace between two points
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Line
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is a straight path that has no thickness and extends forever
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Linear Pair
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of angles is a pair of adjacent whose noncommon sides are opposite rays
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Measure
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of an angle is usually in degrees
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Midpoint
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the point in which the bisect and the line meet
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Obtuse Angle
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measure greater than 90 degrees and less than 180 degrees
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Opposite Rays
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are two rays that have a common endpoint and form a line
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Perimeter
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the sum of the side lengths of the figure.
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Pi
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a greek letter that is equivelent to 3.14 or 22/7
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Plane
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is a flat surface that has no thicknes abd extends forever
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Point
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Names a locarion and has no size
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Postulate
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is a statement that is accepted as true without a proof
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Preimage
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the original figure
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Radius
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is a segment of a circle is the distance around the circles
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Ray
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is a part of a line that start at an endpoint and extends forever iin one direction
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Reflection
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is a rtransformation across a line, called the line of reflection
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Right Angle
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measures 90 degrees
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Rotation
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is a transformation about a point called the center of rotaion
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Segment
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is the part if a line consisting of two points and all points between them
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Segment Bisector
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is any ray, segment, or line that intesects a segment at its midpoint
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Straight Angle
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formed by two opposite rays and measures 180 degrees
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Supplementary Angles
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are two angles whose measures have a sum of 180 degrees
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Transformation
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is a change in the position, sizem ir shape of a figure
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Translation
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is a transformationin which all the points of a figure move the same distance in the same direction
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Undefined Term
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Vertex
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the common endpoint in which an angle is set
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Vertical Angles
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are two nonadjacent angles formed by two intersecting lines
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Conclsuion
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is the part of a conditional statement following the worn then
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Conditional statement
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is a statement that can be written in the form if… then…
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conjecture
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A statement you believe to be true based on inducive reasoning
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Contrapositive
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is the statement formed by both exchanging and negating the hypothesis and conclusion
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Converse
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is the statement formed by exchanging the hypothesis and the conclusion
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Counterexample
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An example one gives to prove if the conjecture is not true
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Deductive Reasoning
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is the process of using logic to draw conclusion from given facts
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definition
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Flowchart Proof
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Hypothesis
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is the part… of a conditional statement following the work if
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Inductive Reasoning
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is the process of reasoning that a rule or statement is true because specific cases are true
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Invese
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is the statement formed by negating the hypothesis and conclusion
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Logically Equivalent Statements
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related conditional statements that have the same truth value
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Negation
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… is "not…," written as~…
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Paragraph Proof
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Polygon
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Proof
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Quadraleteral
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a 4 sided quadraleteral
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Theorem
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Triangle
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and parealleogram with three sides
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Truth Value
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If a conditional statement is true
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Two-Column Proof
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Conclsuion
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is the part of a conditional statement following the worn then
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Conditional statement
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is a statement that can be written in the form if… then…
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conjecture
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A statement you believe to be true based on inducive reasoning
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Contrapositive
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is the statement formed by both exchanging and negating the hypothesis and conclusion
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Converse
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is the statement formed by exchanging the hypothesis and the conclusion
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Counterexample
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An example one gives to prove if the conjecture is not true
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Deductive Reasoning
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is the process of using logic to draw conclusion from given facts
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definition
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Flowchart Proof
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Hypothesis
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is the part… of a conditional statement following the work if
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Inductive Reasoning
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is the process of reasoning that a rule or statement is true because specific cases are true
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Invese
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is the statement formed by negating the hypothesis and conclusion
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Logically Equivalent Statements
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related conditional statements that have the same truth value
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Negation
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… is "not…," written as~…
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Paragraph Proof
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Polygon
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Proof
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Quadraleteral
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a 4 sided quadraleteral
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Theorem
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Triangle
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and parealleogram with three sides
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Truth Value
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If a conditional statement is true
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Two-Column Proof
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Alternate exterior angles
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lie on opposite sides of the transveral
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Alternate interior angles
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are nonadjeacent angles that line on opposite sides of the transversal
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corresponding angles
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lie on the same side of thie transeversal
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distance for a point to a line
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as the length of the perpendicular segment for the point of a line
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parallel lines
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are coplaner and do not intersect
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parallel planes
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are planes that do not intersect
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perpendicular bisector
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of a segment is a line perpendicular to a segment at the segments midpoint
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perpendicular lines
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intersect at 90 degree angles
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point-slope form
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of a line is M is the given point on the line
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rise
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is the difference in the y-value of two points on a line
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run
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is the difference in the x-value of two points on a line
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skew lines
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are not coplanor. Skew l;ines are not parallel and do not intersect
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slope
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of a line is the ration of rise to run
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slope-intercept form
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of a line is y=mx+b where m is the sllope and b is the y-intercept
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transversal
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is a line that interscts two coplanor lines a two different points
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Acute triangle
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three acute angles
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auxillary line
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is a line that is added to a figure to aid in a proof
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base
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base angle
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congruent pol;ygones
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if and only if their corresponding angles and sides are congruent
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coordinate proof
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corollary
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is a theorem whose proof folllows directly for another theorem
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corresponding angles
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are in the same positions in polygons with and equalnumber of sides
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corresponding sides
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are in the same positions in polygons with and equalnumber of sides
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CPCTC
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Corresponding parts of congruent triangles congruent
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Equilangular Triangle
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three congruent acute angles
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Equilateal triangle
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three congruent sides
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exterior
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is the set of all points outside the figure
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included side
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is thew common side of two consecutive angles
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interior
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is the set of all points inside the figure
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isosles triangle
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at least two congruient sides
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obtuse triangle
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one obtuse angle
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right triangle
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one right angle
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scalene triangle
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no congruent sides
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vertex angle
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