1107346046 | Point | Location in Space | 1 | |
1107346047 | Line | A series of all point continuing infinitely in opposite directions | 2 | |
1107346048 | Plane | A flat surface continuing infinitely in all directions of the plane | 3 | |
1107346049 | Collinear | Existing on the same line | 4 | |
1107346050 | Coplaner | Existing on the same plane | 5 | |
1107346051 | Postulate | an accepted statement of fact | 6 | |
1107346052 | Postulate 1-1 | Through any 2 points, there is EXACTLY one line. | 7 | |
1107346053 | Postulate 1-2 | If 2 lines intersect, then they intersect at EXACTLY one point. | 8 | |
1107346054 | Postulate 1-3 | If 2 planes intersect, then they intersect at EXACTLY on line. | 9 | |
1107346055 | Postulate 1-4 | Through any 3 non-collinear points, there is EXACTLY one plane. | 10 | |
1107346056 | Segment | A series of all point continuing in opposite directions between 2 inclusive endpoints | 11 | |
1107346057 | Ray | A series of all points continuing infinitely in ONE direction from one inclusive endpoint | 12 | |
1107346058 | Parallel Lines | Coplaner lines that do not intersect | 13 | |
1107346059 | Skew Lines | Non-Coplaner lines | 14 | |
1107346060 | Opposite Rays | Collinear rays with a common endpoint | 15 | |
1107346061 | Postulate 1-5 | AB means "the length of segment ab" | 16 | |
1107346062 | Postulate 1-6: Segment Addition Postulate | If a, b, and c, are collinear and b is between a and c, then AB+BC=AC | 17 | |
1107346063 | Congruent | Having equal measure | 18 | |
1107346064 | Bisector of a Segment | A point, line, ray, or segment that splits a segment into 2 congruent segments | 19 | |
1107346065 | Midpoint | A point that bisects a segment | 20 | |
1107346066 | Angles | Formed my 2 rays with a common endpoint (vertex) | 21 | |
1107346067 | Acute Angle | An Angle whose measure is less than 90 degrees | 22 | |
1107346068 | Right Angle | An angle whose measure is EXACTLY 90 degrees | 23 | |
1107346069 | Obtuse Angle | An angle whose measure is great than 90 degrees | 24 | |
1107346070 | Straight Angle | An angle whose measure is EXACTLY 180 degrees | 25 | |
1107346071 | Postulate 1-8: Angle Addition Postulate | On a plane, if b is in the interior of angle AOC, then the measure of angle AOB+the measure of angle BOC=the measure of angle AOC | 26 | |
1107346072 | Straight Angle Corollary to Angle Addition Postulate | If angle AOC is a straight angle, then the measure of angle AOB+the measure of angle BOC=180 degrees | 27 | |
1107346073 | Perpendicular Lines | 2 lines that intersect to form right angles | 28 | |
1107346074 | Perpendicular Bisector of a Segment | A line, ray, or segment, that intersects a segment at its midpoint to form Right angles | 29 | |
1107346075 | Angle Bisector | A line or ray that divides and angle into 2 congruent, COPLANER angles | 30 | |
1107346076 | Distance Formula | d=√[(x₂-x₁)²+(y₂-y₁)²] | ![]() | 31 |
1107346077 | Midpoint Formula | (x₁+x₂)/2, (y₁+y₂)/2 | 32 | |
1107346078 | Perimeter | The sum of the measures of the sides of a polygon | 33 | |
1107346079 | Polygon | A closed, plane figure, with at least 3 sides that are segments, that intersect only at their endpoints, where no two adjacent sides are collinear | 34 | |
1107346080 | Circumference | Distance travelled along a circle starting @ 1 point, continuing in one direction, and returning to the original endpoint | 35 | |
1107346081 | Circumference Formula | c=2∏r | 36 | |
1107346082 | Formula for Area of a Circle | a=∏r² | 37 | |
1107346083 | Area | The number of square units that a figure encloses | 38 | |
1107346084 | Postulate 1-10 | The area of a figure is equal to the sum of the areas of its non-overlapping parts. | 39 | |
1107346085 | Postulate 1-9 | If 2 figures are congruent, then their areas are equal | 40 | |
1107346086 | Conditional Statements | If____, then ____, p→q | 41 | |
1107346087 | Law of Syllogism | If p→q, and q→r, then p→r | 42 | |
1107346088 | Law of Detachment | If p→q and p is true, then q is true | 43 | |
1107346089 | Biconditional Statement | Can be written iff (if and only if) both the conditional and the converse are true | 44 | |
1107346090 | Properties of Equality | Addition, Subtraction, Multiplication, Division, Reflexive, Symmetric, Transitive, Substitution, Distributive | 45 | |
1107346091 | Properties of Congruency | Transitive, Reflexive, Symmetric | 46 | |
1107346092 | Vertical Angle Theorem | Vertical angles are congruent | 47 | |
1107346093 | Vertical Angles | Angles formed by 2 sets of opposite rays | 48 | |
1107346094 | Adjacent Angles | Coplaner angles with a common side, common vertex, and no common interior points | 49 | |
1107346095 | Supplementary Angles | 2 Angles whose measures add up to 180 degrees | 50 | |
1107346096 | Complementary Angles | Angles whose measures add up to 90 degrees | 51 | |
1107346097 | Theorem 2-2: Congruent Supplements Theorem | If 2 angles are supplementary to the same angle (someone please fill in these parentheses), then they are congruent to each other | 52 | |
1107346098 | Theorem 2-3: Congruent Complements Theorem | If 2 angles are complementary to the same angle, then they are congruent to each other | 53 | |
1107346099 | Quadratic Formula | x=[(-b)±√(b²-4ac)]/2a | 54 | |
1107346100 | Theorem 2-4: Right Angle Congruency Theorem | If angles are right angles, then they are congruent. | 55 | |
1107346101 | Theorem 2-5 | If two angles are both supplementary and congruent, then they are both right angles. | 56 | |
1107346102 | Transversal | A line that intersects 2 coplaner lines at two distinct points | 57 | |
1107346103 | Corresponding Angles Postulate | If a transversal intersects parallel lines, then corresponding angles are congruent. | 58 | |
1107346104 | Alternate Interior Angles Theorem (AIA Th.) | If a transversal intersects parallel lines, then the alternate interior angles are congruent. | 59 | |
1107346105 | Same-Side Interior Angles Theorem (SSIA Th.) | If a transversal intersects parallel lines, then the same-side interior angles are supplementary. | 60 | |
1107346106 | Theorem 3-5 | If 2 lines are parallel to the same line, then those two lines are parallel to each other. | 61 | |
1107346107 | Theorem 3-6 | In a plane, if 2 lines are perpendicular to the same line, then they are parallel to each other. | 62 | |
1107346108 | Postulate 3-2: Converse to Corresponding Angles Postulate | If corresponding angles are congruent, then a transversal intersects parallel lines. | 63 | |
1107346109 | Theorem 3-3: Converse to AIA Th. | If alternate interior angles are congruent, then a transversal intersects parallel lines. | 64 | |
1107346110 | Theorem 3-4: Converse to SSIA Th. | If same-side interior angles are supplementary, then a transversal intersects parallel lines. | 65 | |
1107346111 | Theorem 3-7 Triangle Angle Sum Theorem | The sum of the measures of the interior angles of a triangle is 180 degrees. | 66 | |
1107346112 | Theorem 3-8: Triangle Exterior Angle Theorem | The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. | 67 | |
1107346113 | Exterior Angle of a Polygon | Formed by extending ONLY ONE side of a polygon at a given vertex | 68 | |
1107346114 | Remote Interior Angles | Non-adjacent interior angles | 69 | |
1107346115 | Equiangular Triangle | A triangle with 3 congruent angles | 70 | |
1107346116 | Right Triangle | A triangle with 1 Right angle | 71 | |
1107346117 | Acute Triangle | A triangle with 3 acute angles | 72 | |
1107346118 | Obtuse Triangle | A triangle with 1 obtuse angle | 73 | |
1107346119 | Equilateral Triangle | A triangle with 3 congruent sides | 74 | |
1107346120 | Isosceles Triangle | A triangle with AT LEAST 2 congruent sides | 75 | |
1107346121 | Scalene Triangle | A triangle with no congruent sides | 76 | |
1107346122 | Diagonal | A segment whose endpoints are NON-ADJACENT vertexes of a polygon | 77 | |
1107346123 | Theorem 3-4: Polygon Sum Theorem | The sum of the measures of the interior angles of an n-sided polygon=(n-2)180 **When n≥3** | 78 | |
1107346124 | Concave Polygon | Formed when a single point from any diagonal is in the exterior of the polygon | 79 | |
1107346125 | Theorem 3-10: Polygon Exterior Angle Theorem | The sum of the measures of the exterior angles of ANY polygon=360 degrees. | 80 |
Postulates, Properties, Laws, and Definitions in Geometry. Flashcards
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