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Geo Vocab
Term | Definition |
---|---|
acute angle | an angle less then 90 degrees |
adjacent angles | two angles in the same plane with a common vertex and a common side, but no common interior points. |
angle | a figure formed by two rays, or sides, with a common endpoint |
angle additon | two angles add into one whole angle. You can sum their measures |
angle bisector | the line segment, line, or ray that bisects an angle |
bisect | divides in half |
collinear | Points that lie on the same line |
complementary angles | angles that add up to 90 degrees |
conclusion | the part q of a conditional statement following the word then. |
conditional statement | a statement that can be written in the form "if p, then q." |
congruent angles | angles that have the same measures |
congruent segments | segments that have the same length |
conjecture | A statement you believe to be true based on inductive reasoning |
construction | a way of creating a figure that is more precise |
contrapositive | the statement formed by both exchanging and negating the hypothesis and conclusion. |
converse | he statement formed by exchanging the hypothesis and conclusion. |
coordinate | A point corresponds to one and only one number on the ruler |
coordinate plane | a plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis) |
coplanar | Points that lie in the same plane |
counterexample | To show that a conjecture is false, you have to find only one example in which the conjecture is not true. This case is called a..... |
Deductive reasoning | building a logical argument/explanation by making conjecture based on established facts |
degree | 1 out of 360 of a circle |
distance | the absolute value of the difference |
of the coordinates | |
endpoint | a point at one end of a segment or the starting point of a ray. |
exterior of an angle | the set of all points outside the angle. |
hypotenuse | the side that stretches from one leg to the other |
hypothesis | the part p of a conditional statement following the word if. |
inductive reasoning | process of reasoning that a rule or statement is true because specific cases are true |
interior of an angle | The set of all points between the sides of the angle |
inverse | the statement formed by negating the hypothesis and the conclusion. |
Law of detachment | if P -> q is a true conditional and p is true, then q is true |
Law of syllogism | If p -> q and q-> r are true conditionals, then p -> r are also true.. |
leg | two sides that form a right angle |
length | distance between A and B ̶̶ |
line | a straight path that has no thickness and extends forever. |
linear pair | a pair of adjacent angles whose noncommon sides are opposite rays |
logically equivalent statements | Related conditional statements that have the same truth value |
measure | usually given in degrees. |
midpoint | the point that bisects the segment into two congruent segments. the center point |
negation | p is "not p," written as ∼p |
obtuse angle | an angle more then 90 degrees |
opposite rays | two rays that have a common endpoint and form a line. |
plane | a flat surface that has no thickness and extends forever. |
point | a location and has no size. It is represented by a dot. |
postulate | or axiom, is a statement that is accepted as true without proof. |
ray | a part of a line that starts at an endpoint and extends forever in one direction. |
right angle | a 90 degree angle |
segment | the part of a line consisting of two points and all points between them. |
segment bisector | any ray, segment, or line that intersects a segment at its midpoint. It divides a segment into two equal parts at its midpoint. |
straight angle | a 180 degree angle |
supplementary angles | angles that add up to 180 degrees |
undefined terms | cannot be defined by using other figures. |
vertex | common endpoint |
vertical angles | two nonadjacent angles formed by two intersecting lines. opposite angles |