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