Unit 1- Introducing Geometry Flashcards
what are the 3 building blocks of geometry?
points,
lines,
planes
(undefined terms)
characteristics of a point
only show location, have no size
represented with a dot
named with a capital letter
three dimensional
characteristics of a line
infinite number of points lined up straight
infinite length
no thickness
named by letter names of two points on the line with the line symbol above OR a small cursive letter
characteristics of a plane
flat surface that extends infinitely along a length and a width
no thickness and no border
named with a cursive capital letter
extends forever in all directions
collinear
on the same line
coplanar
on the same plane
line segment
portion of a line that has length
consists of two points (endpoints) and all points in between them that are colinear with the two points
equal
lengths(values) that are the same
congruent
figures that have equal measures remember tick marks
midpoint
the point on a segment that is the same distance from both endpoints remember tick marks
bisect
to divide the segment into two congruent segments remember tick marks
ray
part of a line that contains a point and all the points on the line in one direction, begins at a point and extends infinitely in one direction
angle
formed by two rays that share a common endpoint
the two rays cannot be collinear
named by 3 points and angle symbol
vertex
common endpoint of the two rays that from the angle
reflex angle
largest amount of rotation about the vertex from one ray to another
congruent angles
angles that have equal measure remember arches and tick marks
angle bisector
divides the angle into two congruent angles remember tick marks
parallel lines
lines in the same plane that never intersect remember symbol
polygon
closed figure in a plane, formed by connecting line segment
each line segment is called a side of the polygon
each endpoint where the sides meet is a vertex
named by listing the vertices in consecutive order
diagonal
line segment that connects two non consecutive vertices
convex polygon
polygon that has all diagonals inside the polygon
concave polygon
polygon that has at least one diagonal outside the polygon
congruent polygons
two polygons that are exactly the same size and shape, congruent figures must be named in a particular order so that each angle/side matches up
perimeter
sum of the lengths of the polygons sides do not include diagonals
denoted by capital letter P
equilateral polygons
polygons in which all sides have equal length look for tick marks
equiangular polygons
polygons in which all angles have equal measures look for arches and tick marks
regular polygons
polygons that are equilateral and equiangular
right triangle
triangle with one right angle
acute triangle
triangle with 3 acute angles
always sum to 180 degrees
obtuse angle
triangle with one obtuse angle
scalene triangle
triangle with no congruent sides
equilateral triangle
triangle that has 3 congruent sides
isosceles triangle
triangle that has at least two congruent sides
vertex angle between sides of equal length
base side opposite the vertex angle
base angles, two angles opposite the two sides of equal length
trapezoid
quadrilateral with exactly one pair of parallel sides
kite
quadrilateral with two distinct pairs of consecutive congruent sides
parallelogram
a quadrilateral with two pairs of parallel sides
rhombus
equilateral parallelogram
rectangle
equiangular parallelogram
square
equilateral rectangle
equiangular rhombus
regular quadrilateral
space
the set of all points
cannot be contained in a flat surface
3 dimensional
isometric drawing
drawing of a 3D object that shows three faces in one view
net
a two dimensional pattern that you can cut and fold to form a 3D figure
locus of points
the set or locations of all points that meet the given conditions
