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66 Cards in this Set
- Front
- Back
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Acute Angle
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An angle that measures greater than zero degrees and less than 90
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Acute Triangle
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triangle with 3 acute angles
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Adjacent Angles
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Two angles in the same plane with a common vertex and a common side
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Alternate exterior angles
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For 2 lines intersected by a transversal
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Alternate Interior Angles
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For 2 lines intersected by a transversal
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Altitude of a Triangle
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Perpendicular segment from a vertex to the line containing the opposite side.
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Angle
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A figure formed by two rays with a common vertex
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Angle Bisector
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A ray that divides an angle into two congruent angles.
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Base of an isosceles triangle
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The side opposite the vertex angle.
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Biconditional
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A statement that can be written in the form "p if and only if q".
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Coinciding lines
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To correspond exactly; to be identical.
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Collinear
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Points that lie on the same line.
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Complementary angles
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Two angles whose measures have a sum of 90 degrees.
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Conclusion
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The part of a conditional statement following the word then.
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Congruent angles
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Angles that have the same measure.
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Consecutive Interior Angles/ Same-Side Interior Angles
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For 2 lines intersected by a transversal
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Contrapositive
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a statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement
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Converse
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the statement formed by exchanging the hypothesis and conclusion of the conditional statement
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Corresponding Angles (of lines intersected by transversal)
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For 2 lines intersected by a transversal
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Counterexample
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an example that proves a conjecture or statement is false
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Distance between 2 points
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The absolute value of the difference of the coordinates of the points
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Equiangular Triangle
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A triangle with 3 congruent angles
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Equilateral Triangle
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A triangle with 3 congruent sides
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Exterior of an angle
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the set of all points outside of an angle
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Measure of an exterior angle of a triangle
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Hypotenuse
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the side opposite the right angle in a right triangle
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Interior of an Angle
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the set of all points between the sides of an angle
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Intersecting lines
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Isosceles Triangle
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A triangle with at least 2 congruent sides
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Leg of an Isosceles Triangle
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One of the 2 congruent sides of the isosceles triangle
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Leg of a Right Triangle
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One of the two sides of the right triangle that form the right angle
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Linear Pair
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A pair of adjacent angles whose noncommon sides are opposite rays
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Line Perpendicular to a Plane
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Measurement of an Angle
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Angles are measured in degrees (a degree is 1/360 of a complete circle)
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Median of a Triangle
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A segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side
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Midpoint
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the point that divides a segment into 2 congruent segments
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Midsegment of a Triangle
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a segment that joins the midpoints of 2 sides of the triangle
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Negation
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the negation of statement P is " not P"
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Obtuse Angle
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an angle that measure greater than 90 degrees and less than 180 degrees
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Obtuse Triangle
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A triangle with one obtuse angle
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Opposite Rays
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Two rays that have a common endpoint and form a line
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Parallel Lines
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Lines in the same plane that do not intersect
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Parallel Planes
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Planes that do no intersect
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Perpendicular Bisector of a segment
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A line perpendicular to a segment at the segments midpoint
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Perpendicular Lines
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Lines that intersect at 90 degrees
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Ray
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part of a line that starts at an endpoint and extends for forever in one direction
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Right Angle
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An angle that measures 90 degrees
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Right Triangle
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A triangle with one right angle
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Scalene Triangle
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A triangle with no congruent sides
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Segment of a line
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A part of a line consisting of 2 endpoints and all points between them
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Segment Bisector
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a line ray or segment that divides a segment into 2 congruent segments
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Skew Lines
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lines that are not coplanar
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Straight Angle
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A 180 degree angle
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Supplementary Angles
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Two angles whose measures have a sum of 180
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Transversal
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a line that intersects 2 coplanar lines at two different points
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Vertical Angles
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The nonadjacent angles formed by two intersecting lines
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Vertex of a Triangle
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the intersection of 2 sides of the triangle
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Vertex angle of an isosceles triangle
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The angle formed by the legs of an isosceles triangle
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Addition Property Of Equality
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If a = b then a + c = b + c
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Subtraction Property of Equality
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If a = b then a - c = b - c
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Division Property of Equality
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If a = b and c is not = 0
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Multiplication Property of Equality
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If a = b
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Reflexive Property of Equality
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a = a
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Symmetric Property of Equality
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a = b
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Transitive Property of Equality
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a = b and b = c then a = c
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Substitution Property of Equality
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If a = b
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