Term
| If there are _____ ______ then their this is exactly ____ _____ that ______ them. |
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Definition
| If there are two points, then there is exactly one line that contains them. |
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Term
| If there is a line, then _______.... |
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Definition
| If there is a line, then their are at least two points on the line. |
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Term
| If there are three noncollinear points, ____________..... |
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Definition
| If there are three noncollinear points, then there is exactly one plane that contains them. |
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Term
| If two points lie in a plane, _________... |
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Definition
| If two points lie in a plane, then the line that contains them lies in the plane. |
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Term
THE RULER POSTULATE.
1. to every point ______
2. to every real number____
3.to every pair of points_____
4. and the distance between _______ |
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Definition
THE RULER POSTULATE
1. to every point there corresponds exactly one real number called its coordinate
2. to every real number there corresponds exactly one point
3. to every pair of points there corresponds exactly one real number caleed the distance between the points.
4. and the distance between two points is the absolute value of the difference between their coordinates. |
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Term
| THE BETWEENNESS OF POINTS THEOREM |
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Definition
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Term
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Definition
| A line segment has exactly one midpoint |
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Term
| The ______ of a ___ _______ divides it into ______ half as long as the _____ _______ |
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Definition
| The midpoint of a line segment divides it into segments half as long as the line segment |
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Term
THE PROTRACTOR POSTULATE the ____ in a half-rotation can be numbered so that
1. to every ray_______
2.to every real number________
3. to every pair of rays___________
4. and the measure of an angle ________________ |
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Definition
THE PROTRACTOR POSTULATE the rays in a half-rotation can be numbered so that
1. to every ray there corresponds exactly one real number called its coordinate
2. to every real number from 0 to 180 inclusive there corresponds exactly one ray
3. to every pair of rays there corresponds exactly one real number called the measure of the angle that they determine.
4. and the measure of an angle is the absolute value of the difference between the coordinates of its rays |
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Term
| THE BETWEENNESS OF RAYS THEOREM |
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Definition
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Term
| THE ANGLE BISECTOR THEOREM |
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Definition
| A ray that bisects an angle divides it into angles half as large as the angle |
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Term
| _____ or _______ of the same ____ (or equal _____) are equal |
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Definition
complements of the same angle (or equal angles) are aqual
Supplements of the same angle (or equal angles) are aqual |
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Term
| If two angle are a _____ ______ then they are _________ |
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Definition
| If two angles are a linear pair then they are supplementary |
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Term
| If two _____ in a _____ _____ are equal, then each is a ________ _______ |
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Definition
| If two angles in a linear pair are dqual, then each is a right angle |
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Term
| If two ______ are ________ ________, then __________ |
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Definition
| If two angles are vertical angles, then they are equal |
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Term
| If two ____ are ______, they form four ______ _______ |
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Definition
| If two lines are perpendicular, they form four right angles |
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Term
| Any two ___ _____ are _____ |
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Definition
| any two right angles are equal |
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Term
| THE SAS CONGRUENCE POSTULATE |
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Definition
| if two sides and the included angle of one triangle is equal to two sides and the included angle of another triangle, the triangles are congruent |
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Term
| the ASA CONGRUENCE POSTULATE |
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Definition
| if two angles and the included side of one triangle is equal to two angles and the included side of another triangle, the triangles are congruent |
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Term
| Two _____ _______ to a third ______ are _______________________________ |
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Definition
| Two triangles congruent to a third triangle are congruent to each other. |
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Term
| If two sides of a triangle are equal, __________________________ |
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Definition
| If two sides of a triangle are equal, the angles opposite them are equal. |
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Term
| If a triangle is equilateral, ________ |
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Definition
| If a triangle is equilateral, it is also equiangular |
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Term
| If two angles of a triangle are equal, ___________________________ |
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Definition
| If two angles of a triangle are equal, the sides opposite them are equal. |
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Term
| If a triangle is equiangular, ______ |
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Definition
| If a triangle is equiangular, it is also equilateral. |
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Term
| THE SSS CONGRUENCE THEOREM |
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Definition
| If the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent. |
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Term
| In a plane,two points each equidistant from the endpoints_________ |
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Definition
| In a plane,two points each equidistant from the endpoints of a lint segment detmine the perpendicular bisector of the line segment. |
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Term
| THE EXTERIOR ANGLE THEOREM |
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Definition
| An exterior angle of a triangle is greater than either remote interior angle |
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Term
| IF two sides of a triangle are unequal ______________________________________________________ |
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Definition
| If two sides of a triangle are unequal, the angles opposite them are unequal and the larger angle is opposite the longer side. |
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Term
| If two angles of a triangle are unequal, _____________________________________________________________ |
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Definition
| If two angles of a triangle are unequal, the sides opposite them are unequal and the longer side is opposite the larger angle. |
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Term
| THE TRIANGLE INEQUALITY THEOREM |
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Definition
| the sum of the lengths of any two sides of a triangle is greater than the length of the third side. |
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Term
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Definition
| a statement that is assumed to be true without proof. |
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Term
| Defn: COLLINEAR, NONCOLLINEAR |
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Definition
| points are collinear iff there is a line that contains all of them. Points are noncollinear iff there is no line that contains all of them. |
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Term
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Definition
| Points are coplanar iff there is a plane that contains all of them |
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Term
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Definition
| a line segment is the set of two points and all the points between them. |
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Term
| Defn: LENGTH OF A LINE SEGMENT |
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Definition
| The length of a line segment is the distance between its endpoints. |
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Term
| Defn: MIDPOINT OF A LINE SEGMENT |
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Definition
| a midpoint of a line segment is a point between its endpoints taht divides it into two equal segments. |
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Term
Defn:
# of sides-name of polygon
3-___
4-___
5-___
6-___
7-___
8-___
9-___
10-___
12-___ |
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Definition
3-triangle
4-Qualdrilateral
5-Pentagon
6-Hexagon
7-Heptagon
8-Octagon
9-Nonagon
10-Decagon
12-Dodecagon |
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Term
Defn:
COMPLEMENTARY
SUPPLEMENTARY |
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Definition
two angles are complementary iff the sum of their measures is 90 degrees
two angles are supplementary iff the sum of their measure is 180 degress |
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Term
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Definition
| Two lines are parallel iff they lie in the same plane and do not intersect. |
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Term
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Definition
| two lines are perpendicular iff they form a right angle |
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Term
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Definition
| two polygons are congruent iff there is a correspondence between their vertices such that all of their corresponding sides and angles are equal. |
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Term
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Definition
| a corollary is a theorem that can be easily proved as a consequence of another theorem |
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Term
| Defn: EXTERIOR ANGLE OF A POLYGON |
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Definition
| an exterior angle of a polygon is an angle that forms a linear pair with one of the angles of the polygon |
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