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Math Vocab Unit 1
Geometry vocab
Question | Answer |
---|---|
point | has no size, all geometric figures are made. |
Line | series of points that extends in opposite directions without end. |
Plane | a flat surface with no thickness |
Space | the set of all points |
Rays | part of a line with one endpoint |
Segment | part of a line with two end points |
Opposite Rays | two collinear rays with a common endpoint |
Acute angle | angle less than 90' |
Obtuse angle | angle more than 90' |
Straight Angle | angle 180' |
Collinear | points on the same line |
coplanar | points and lines in the same plane. 3 |
Deductive reasoning | use facts, definitions, rules or properties to reach a conclusion |
conjecture | a conclusion reached using inductive reasoning |
parallel lines | coplanar lines that never intersect |
skew lines | non-planar lines that never intersect |
angle | formed by two rays with same endpoint |
right angle | equals 90' |
vertical angles | non adjacent angled formed by two intersecting lines |
linear pair | angles are adjacent whose non common sides are opposite rays |
adjacent angles | angles in the same plane that have a common vertex and a common side, but no common interior points |
supplementary angles | two angles of the sum of the degrees = 180' |
complementay angles | two angles sum = 90' |
theorem | a statement that must be proven before it is accepted as true |
corollary | an inference, follows little to no proof |
postulate | true statement, which doesn't need to be proven |
counterexample | makes a conjecture false |
segment addition postulate | AB+BC=AC |
angle addition postulate | m |
congruent angles | have the same degree measure |
congruent segements | have the same length |
Pythagorean Theorem | c"=a"+b" |
perpendicular lines | form 4 right angles |
distnace formula | d= (x"-x')" + (y"-y')" |
midpoint | a+b/2 |
midpoint formula | x'+x"/2 , y'+y"/2 |
angle bisector | a ray that divides an angle into two congruent angles |
hypotenuse | c |
legs of a right triangle | a and b |
perpendicular bisector | line in perpendicular |
inductive reasoning | educated guess |