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Geometry Unit 1
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Gravity
Key Concepts:
Terms in this set (46)
Point
An exact location represented by a dot.
scalene triangle
a triangle with no congruent sides
line
A straight path that goes without end in two directions.
segment
part of a line with 2 endpoints
ray
A part of a line, with one endpoint, that continues without end in one direction
collinear
Points that lie on the same line
plane
A two-dimensional flat surface that extends in all directions
coplanar
points that lie on the same plane
circle
the set of all points in a plane that are equidistant from a given point
radius
The distance from the center of a circle to any point on the circle
equilateral triangle
A triangle with three congruent sides
postulate
something accepted as true without proof; an axiom
line postulate
Two points determine a line.
non collinear points postulate
Are points that do not lay on the same line and form a plane
line intersection postulate
If two lines intersect, then their intersection is exactly one point.
plane intersection postulate
If two planes intersect, then their intersection is a line.
Angle
A figure formed by two rays with a common endpoint
convex angle
angle that measures 180 or less
nonconvex angle
angle that is greater than 180 but less than 360
angle bisector
a ray that divides an angle into two congruent angles
linear pair
A pair of adjacent angles whose noncommon sides are opposite rays.
degree
1/360 of a circle
zero angle
a measure of an angle with zero degrees (formed by a ray)
straight angle
an angle that measures 180 degrees
midpoint
A point that divides a segment into two congruent segments
right angle
an angle that measures 90 degrees
perpendicular
Two rays, line segments or lines that meet to form a right angle
equidistant
a point is equidistant from two figures when it is the same distance from each figure
perpendicular bisector
A perpendicular line, ray, or segment that intersects a segment at its midpoint.
parallel lines
lines in the same plane that never intersect
isosceles triangle
a triangle with at least two congruent sides
isosceles right triangle
a right triangle with congruent legs
incenter
the point of concurrency of the angle bisectors of a triangle
circumcenter
the point of concurrency of the perpendicular bisectors of a triangle
vertical angles
A pair of opposite congruent angles formed by intersecting lines
complementary
Two angles whose sum is 90 degrees
supplementary
Two angles whose sum is 180 degrees
adjacent angles
Angles that have a common side and a common vertex (corner point).
alternate interior angles
angles on the inside of parallel lines cut by a transversal
alternate exterior angles
two angles that lie outside the two lines and on opposite sides of the transversal
corresponding angles
Angles that are in the same position on two parallel lines in relation to a transversal.
same side interior angles
two interior angles on the same side of the transversal that combine to make 180
auxiliary lines
a line added to a diagram to help with solving a problem
a line added to a diagram to help with solving a problem
sum of angles in triangle
all of the internal angles add up to 180
exterior angles of a triangle
angles
base of isosceles triangle
base angles of an isosceles triangle are congruent
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