Lines and Angles
click to edit
Lines
Oblique
Vertical
Horizontal
90 degrees. :
180 degrees.
Not horizontal or vertical.
Perpendicular Line: at right angle(s) with another surface
Paralell Line. Lines running a constant distance from one another, never intersecting in the same direction. but running in the same direction.
Line segment: A segment of line.
Ray: a line that extends infinitely from one point.
click to edit
Reflex Angle: an angle between 180 and 360 degrees.
Straight Angle: an angle measuring 180 degrees.
Obtuse Angle: an angle between 90 and 180.
Vertex: a point where 2 lines meet to make an angle.
Acute angle: An angle between 0 and 90 degrees.
Arm: A line interval forming one side of an angle.
Right angle: an angle of exactly 90 degrees.
Angle: Two rays starting from the same point.
Complementary angles: 2 angles that add up to 90 degrees.
Supplementary:2 angles adding up to 180
When 2 lines cross each other, opposite angles are equal.
When three lines meet at one point the angles they make add up to 360 degrees.
Triangles
Equilateral
Isosceles
Scalene
Right Angle
Two sides of the same side length.Isos+Skelos. Equal legs.
No sides of the same length. Scalene = mixed up.
All three sides the same length. Equi+Latus =Equal sides.
A triangle with a right angle.
click to edit
A polygon is a 2d shape with 3 or more sides with 2 meeting at each vertex never crossing
Regular= Equal
Irregular= not all sides are equal
Convex Polygon. A polygon where every diagonal lies inside this figure.
e.g: rhombus, regular polygons, triangles.
Concave Polygona polygon where at least one diagonal lies outside the figure (also called a non-convex polygon)
click to edit
Quadrilaterals
click to edit
click to edit
click to edit
pentagon
Rhombus
a quadrilateral with both pairs of opposite sides parallel and all sides equal; a parallelogram with two adjacent sides equal in length
a five-sided polygon
A regular pentagon has all its sides and angles equal. Angles ad up to 540 degrees
click to edit
Diameter:a line interval passing through a circle’s centre with its end points on the circumference
The diameter is twice as long as the circle’s radius.
Radius: half the dimeter.
circumference: circumference (from Latin circumferens, meaning "carrying around") is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.
C=πr2
Polyhedra
Tetrahedra: a solid comprised of four triangular faces; a triangular pyramid
A regular tetrahedron (one of the five Platonic solids) has four congruent equilateral triangles as faces.
Regular polyhedra: A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags. A regular polyhedron is highly symmetrical, being all of edge-transitive, vertex-transitive and face-transitive.
Pentahedra: In geometry, a pentahedron (plural: pentahedra) is a polyhedron with five faces or sides. There are no face-transitive polyhedra with five sides and there are two distinct topological types.
Cubes; a symmetrical three-dimensional shape, either solid or hollow, contained by six equal squares.
Prisms: a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
octahedron: a three-dimensional shape having eight plane faces, especially a regular solid figure with eight equal triangular faces.
dodecahedron: a three-dimensional shape having twelve plane faces, in particular a regular solid figure with twelve equal pentagonal faces.
icosahedron: a three-dimensional shape having twelve plane faces, in particular a regular solid figure with twelve equal pentagonal faces.
hexahedron: a solid figure with six plane faces.
cylinders: a solid geometrical figure with straight parallel sides and a circular or oval cross section.
a solid or hollow body, object, or part having the shape of a cylinder.
pyramid: a solid geometrical figure with straight parallel sides and a circular or oval cross section.
a solid or hollow body, object, or part having the shape of a cylinder.
click to edit
Face: a flat surface of a polyhedron
A face must be a polygon (have straight sides).
Edge: the line interval where two faces of a solid meet
Vertex: in 2D shapes, a point where two straight lines meet to make an angle;
in 3D objects, a point where three or more straight edges meet to make a corner
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
click to edit
Mode: the most common number
The middle number.
mean the sum of numbers divided by the number of numbers