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Geometry Vocab 1Definitions
line segment consists of two endpoints and all the points that lie on a line between those two endpoints
ray consists of an initial point and all the points on a line to one side of that point; a half line
opposite rays two rays that share the same initial point and form a straight line
collinear points points that are on the same line
angle consists of two different rays that have the same initial point
acute angle an angle with a measure greater than 0 degrees and less than 90 degrees
right angle an angle with a measure of 90 degrees
obtuse angle an angle with a measure greater than 90 degrees and less than 180 degrees
straight angle an angle that measures 180 degrees
adjacent angles two angles that share a common vertex and side, but have no common interior points
congruent segments segments that have the same length
congruent angles angles that have the same measure
midpoint of a segment the point that divides the segment into two congruent segments
segment bisector a segment, ray, line, or plane that intersects a segment at its midpoint
angle bisector a ray that divides the angle into two congruent angles
perpendicular lines two lines that intersect to form a right angle
conditional statement a statement made up of two parts, the hypothesis (if p) and the conclusion (then q)
converse of a conditional statement formed by interchanging the hypothesis and the conclusion
counterexample an example of a conditional statement in which the hypothesis is fulfilled and the conclusion is not fulfilled proving the statement to be false
biconditional statement p if and only if q; equivalent to writing p implies q and q implies p
vertical angles angles whose sides form two pairs of opposite rays
linear pair two adjacent angles whose noncommon sides form opposite rays
complementary angles two angles whose sum equals 90 degrees
supplementary angles two angles whose sum equals 180 degrees
parallel lines coplanar lines that do not intersect
intersecting lines coplanar lines that have exactly one point in common
oblique lines intersecting lines that are not perpendicular
coincident lines the same line
contrapositive of p implies q not q implies not p; true if and only if p implies q is true
Law of Syllogism p implies q, q implies r, therefore p implies r
Law of Detatchment p implies q, p is true, therefore q is true
transversal a line that intersects two or more coplanar lines at different points
corresponding angles angles that occupy corresponding positions when a transversal intersects two lines
alternate interior angles two angles that lie between two lines intersected by a transversal and on opposite sides of the transversal
consecutive interior angles two angles that lie between two lines intersected by a transversal on the same side of the transversal
skew lines lines that do not lie in the same plane
vector a quantity that has both quantity and magnitude
parallel vectors vectors that have the same or opposite direction
congruent triangles triangles whose corresponding angles and sides are congruent
equilateral triangle a triangle with three congruent sides
isosceles triangle a triangle with at least two congruent sides
scalene triangle a triangle with no congruent sides
acute triangle a triangle with three acute angles
rignt triangle a triangle with one right angle
obtuse triangle a triangle with exactly on obtuse angle
equiangular triangle a triangle with three congruent angles
legs the sides of a right triangel that form the right angle; the two congruent sides in an isosceles triangle
hypotenuse the side opposite the right angle in a right triangle
base the noncongruent side in an isosceles triangle
interior angles of a triangle the angles inside the triangle
exterior angles of a triangle the angles adjacent to the interior angles
Created by: lrgmath