Definitions Flashcards
Geometry
branch of mathematics that deals with points, lines, planes
Point
Has no size, length, width or height. Represented by a dot
Line
set of points which has infinite length but no width or height. A line is named by a lower case letter
Plane
set of points that has infinite length and width but no height. We name a plane with a capital letter
Collinear points
points that lie on the same line.
Noncollinear points –
points that do not lie on the same line.
Coplanar points
points that lie on the same plane.
Noncoplanar points
points that do not lie on the same plane.
Segment
part of a line that consists of two points called endpoints
Ray
is the part of a line that contains an endpoint and all points extending in the other direction.
Congruent segments
segments that have the same length.
Bisector of a segment
line, ray segment, or plane that divides a segment into two congruent segments.
Midpoint of a segment
a point that divides the segment into two congruent segments.
Acute angle
Angle below 90 degrees
Right angle
Angle who measures at 90 degrees
Obtuse angle
angle whose measure is greater than 90 degrees but less than 180 degrees.
Straight angle
Angle that measures at 180
Congruent angles –
Angles that are congruent on each side
Angle bisector
A ray tht divides an angle into 2 congruency adjacent angles
Triangle
the figure formed by three segments joining three noncollinear points.
Acute triangle
triangle that has all acute angles.
Right triangle
Triangle with right angle
Obtuse triangle
Triangle with an obtuse angle
Equiangular triangle
triangle with all angles congruent.
Scalene triangle
triangle with no sides congruent.
Isosceles triangle
triangle with at least two sides congruent.
Equilateral triangle
triangle with all sides congruent.
Adjacent angles
two coplanar angles with a common vertex and a common side between them
Vertical angles
the non-adjacent angles formed by two intersecting lines.
Complementary angles
two angles whose sum is 90 degrees.
Complementary angles
two angles whose sum is 90 degrees.
Supplementary angles
two angles whose sum is 180 degrees.
Perpendicular lines –
two lines that intersect to form right angles.
Parallel lines –
two lines are parallel if they are coplanar and do not intersect.
Skew lines –
are noncoplanar lines they will not intersect.
Polygon
– union of 3 or more coplanar segments that meet only at endpoints
Regular polygon –
polygon which is equilateral and equiangular.
Congruent triangles –
two triangles are congruent if corresponding sides are congruent and corresponding angles are congruent.
Median of a triangle
segment from the vertex of a triangle to the midpoint of the opposite side.
Altitude of a triangle
segment from the vertex of a triangle perpendicular to the line containing the
opposite side.
Parallelogram –
quadrilateral with both pairs of opposite sides parallel