Term
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Definition
| an angle whose measure is greater than 0 and less than 90 |
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Term
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Definition
| made up of two rays with a common endpoint. |
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Term
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Definition
| A point (or segment, ray, or line) that divides a segment into two congruent segments |
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Term
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Definition
| If p => q and q => r, then p => r |
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Term
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Definition
| Points that lie on the same line |
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Term
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Definition
| The "then" part of the sentence |
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Term
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Definition
| "If p, then q" where p and q are declarative statements. |
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Term
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Definition
| angles that have the same measure |
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Term
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Definition
| segments that have the same length |
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Term
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Definition
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Term
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Definition
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Term
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Definition
| when a conclusion is false |
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Term
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Definition
| a system of thought in which conclusions are justified by means of previously assumed or proved statements |
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Term
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Definition
| states the meaning of a term or idea |
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Term
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Definition
| a segment is named in terms |
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Term
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Definition
| The "if" part of the sentence |
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Term
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Definition
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Term
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Definition
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Term
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Definition
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Term
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Definition
| made up of points and are straight |
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Term
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Definition
| made up of points and are straight |
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Term
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Definition
| the amount of turning you would do if you were at the vertex, looking along one side, and then turned to look long the other side |
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Term
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Definition
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Term
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Definition
| each degree of an angle is divided |
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Term
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Definition
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Term
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Definition
| points that do not lie on the same line |
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Term
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Definition
| a numerical value is assigned to each point on a line |
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Term
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Definition
| an angle whose measure is greater than 90 and less than 180 |
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Term
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Definition
| proofs in journals, more-advanced mathematics courses and other areas of study |
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Term
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Definition
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Term
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Definition
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Term
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Definition
| knowledge that is obviously important |
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Term
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Definition
| angles are commonly measured by means |
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Term
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Definition
| like lines and segments, are made up of points and are straight |
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Term
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Definition
| an angle whose measure is 90 |
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Term
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Definition
| each minute of an angle is divided |
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Term
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Definition
| like lines, made up of points and are straight |
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Term
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Definition
| an angle whose measure is 180 |
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Term
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Definition
| a mathematical statement that can be proved |
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Term
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Definition
| indicate congruent angles and segments |
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Term
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Definition
| has three segments as its sides |
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Term
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Definition
| two points (or segments,rays, lines) that divide a segment into three congruent segments |
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Term
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Definition
| the two points at which the segment is divided |
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Term
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Definition
| the major type of proof you will use to study in this book |
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Term
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Definition
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Term
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Definition
| A useful tool for determining whether or not a conditional statement is true or false |
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Term
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Definition
| the common endpoint of the angle |
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Term
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Definition
| each of the two angles whose sum is 90 (a right angle) |
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Term
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Definition
| two angles whose sum is 90 (a right angle) |
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Term
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Definition
| The values of x and y in the pair |
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Term
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Definition
| When two lines intersect and are not perpendicular |
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Term
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Definition
| Two collinear rays that have a common endpoint and extend in different directions |
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Term
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Definition
| The intersection of the axes |
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Term
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Definition
| lines, rays, or segments that intersect at right angles |
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Term
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Definition
| solve for a variable and then switch the value you found for that variable |
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Term
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Definition
| if 1 is comp. to 2 and 2=3 then 1 is comp to 3 |
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Term
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Definition
| Each of the two angles whose sum is 180 |
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Term
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Definition
| two angles whose sum is 180 |
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Term
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Definition
| two angle where the rays forming the sides of one and the rays forming the sides of the other are opposite rays |
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Term
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Definition
| the horizontal line in the coordinate plane |
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Term
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Definition
| the vertical line in the coordinate plane |
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Term
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Definition
| a triangle in which all angles are acute |
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Term
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Definition
| a line segment drawn from any vertex of the triangle to the opposite side, extended if necessary, and perpendicular to that side |
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Term
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Definition
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Term
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Definition
| In Triangle DEF, Segment EF |
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Term
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Definition
| In Triangle DEF, Angle E and Angle F |
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Term
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Definition
| all pairs of corresponding parts are congruent |
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Term
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Definition
| all pairs of corresponding parts are congruent |
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Term
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Definition
| a triangle in which all angles are congruent |
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Term
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Definition
| a triangle in which all sides are congruent |
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Term
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Definition
| The side opposite the right angle |
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Term
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Definition
| Angle H by the sides Segment GH and Segment HJ |
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Term
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Definition
| a triangle in which at least two sides are congruent |
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Term
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Definition
| Segment DE and Segment DF of the isosceles triangle |
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Term
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Definition
| a line segment drawn from any vertex of the triangle to the midpoint of the opposite side |
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Term
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Definition
| a triangle in which one of the angles is an obtuse angle |
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Term
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Definition
| Triangle KET of Triangle KIT over Segment KT |
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Term
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Definition
| Whenever a side or an angle is shared by two figures, we can say that the side or angle is congruent to itself |
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Term
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Definition
| a triangle in which one of the angles is a right angle |
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Term
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Definition
| Triangle FGH onto Triangle LKH about H |
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Term
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Definition
| a triangle in which no two sides are congruent |
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Term
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Definition
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Term
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Definition
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Term
| alternate exterior angles |
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Definition
| a pair of angles formed by two lines and a transversal |
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Term
| alternate interior angles |
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Definition
| a pair of angles formed by two lines and a transversal |
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Term
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Definition
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Term
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Definition
| a pair of angles formed by two lines and a transversal |
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Term
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Definition
| to prove more than one pair of triangles congruent |
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Term
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Definition
| the length of the shortest path joining them |
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Term
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Definition
| if two points P and Q are the same distance from a third point X |
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Term
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Definition
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Term
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Definition
| the region between lines d and b |
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Term
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Definition
| can be used to find the coordinates of the midpoint of any segment in the coordinate plane |
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Term
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Definition
| do not lie in the same plane |
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Term
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Definition
| the relationship between the slopes of two perpendicular lines |
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Term
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Definition
| two coplanar lines that do not intersect |
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Term
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Definition
| the line that bisects and is perpendicular to the segment |
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Term
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Definition
| a surface such that if any two points on the surface are connected by a line |
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Term
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Definition
| the formula m=(y2-y1)/(x2-x1) |
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Term
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Definition
| a line that intersects two coplanar lines in two distinct points |
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