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72 Cards in this Set

  • Front
  • Back
coplanar
all in one plane
collinear
all in one line
Exterior Angle of a triangle
the angle formed when one side of the triangle is extended
concurrent lines
two or more lines that intersect at one point.
incenter
The point where the angle bisectors of a triangle meet, that is equidistant from all three sides of the triangle.
circumcenter
The point where the perpendicular bisectors of a triangle meet, that is equidistant from all three vertices of a triangle.
orthocenter
The point where the altitudes of a triangle meet.
centroid
The point where the medians of a triangle meet that is two thirds of the distance from each vertex to the midpoint of the opposite side. This is the center of gravity of the triangle.
acute triangle
A triangle with three acute angles.
Obtuse Triangle
A triange with one obtuse angle.
Scalene Triangle
A triangle with no congruent sides.
Isosceles Triangle
A triangle with two congruent sides.
Equilateral Triangle
A triangle with all sides congruent.
Right Triangle
A triangle with one right angle (angle measuring 90 degrees).
Acute Angle
Angle measuring less than 90 degrees.
Right Angle
Angle measuring 90 degrees.
Obtuse Angle
Angle measuring over 90 degrees.
Straight Angle
Angle measuring 180 degrees.
Parallel lines
Coplanar lines that do not intersect.
Perpendicular Lines
Two lines that intersect to form right angles.
Skew Lines
Lines that are not coplanar.
Transversal
A line that intersects two or more coplanar lines in different points.
Tautology
A composition of statements that is always true logically when evaluated in a truth table, regardless of the truth or falsity of its components.
Argument
Exists when a series of statements lead up to a final conclusion.
Valid Argument
if it follows the pattern of a tautology.
Proof
a valid argument in which all of the series of statements are agreed true.
postulate
statement, doesn't need to be proven.
definition
biconditional, needs to be proven.
theorum
statements that need to be proven.
midpoint
the point on a segment that divides the segment into two equal segments.
supplementary angle postulate
if two angles add up to 180 degrees, or form a straight line, they are supplementary.
transitive property of equality
If A= B and B = C, then A = C
Tautology
A composition of statements that is always true logically when evaluated in a truth table, regardless of the truth or falsity of its components.
Argument
Exists when a series of statements lead up to a final conclusion.
Valid Argument
if it follows the pattern of a tautology.
Proof
a valid argument in which all of the series of statements are agreed true.
postulate
statement, doesn't need to be proven.
definition
biconditional, needs to be proven.
theorum
statements that need to be proven.
midpoint
the point on a segment that divides the segment into two equal segments.
supplementary angle postulate
if two angles add up to 180 degrees, or form a straight line, they are supplementary.
transitive property of equality
If A= B and B = C, then A = C
Tautology
A composition of statements that is always true logically when evaluated in a truth table, regardless of the truth or falsity of its components.
Argument
Exists when a series of statements lead up to a final conclusion.
Valid Argument
if it follows the pattern of a tautology.
Proof
a valid argument in which all of the series of statements are agreed true.
postulate
statement, doesn't need to be proven.
definition
biconditional, needs to be proven.
theorum
statements that need to be proven.
midpoint
the point on a segment that divides the segment into two equal segments.
supplementary angle postulate
if two angles add up to 180 degrees, or form a straight line, they are supplementary.
transitive property of equality
If A= B and B = C, then A = C
Tautology
A composition of statements that is always true logically when evaluated in a truth table, regardless of the truth or falsity of its components.
Argument
Exists when a series of statements lead up to a final conclusion.
Valid Argument
if it follows the pattern of a tautology.
Proof
a valid argument in which all of the series of statements are agreed true.
postulate
statement, doesn't need to be proven.
definition
biconditional, needs to be proven.
theorum
statements that need to be proven.
midpoint
the point on a segment that divides the segment into two equal segments.
supplementary angle postulate
if two angles add up to 180 degrees, or form a straight line, they are supplementary.
transitive property of equality
If A= B and B = C, then A = C
Tautology
A composition of statements that is always true logically when evaluated in a truth table, regardless of the truth or falsity of its components.
Argument
Exists when a series of statements lead up to a final conclusion.
Valid Argument
if it follows the pattern of a tautology.
Proof
a valid argument in which all of the series of statements are agreed true.
postulate
statement, doesn't need to be proven.
definition
biconditional, needs to be proven.
theorum
statements that need to be proven.
midpoint
the point on a segment that divides the segment into two equal segments.
supplementary angle postulate
if two angles add up to 180 degrees, or form a straight line, they are supplementary.
transitive property of equality
If A= B and B = C, then A = C