unit 1 Flashcards
geometry basics
what is a point?
a point is a location in space
do points have thickness or width?
no, points do not have thickness or width
do you use capital or lower case letter for points?
always use capital letters for naming points
(ex: point A or A)
what is a line?
a line is made up of infinitely many points
how many points are needed to form a line?
any two points from a line
collinear points–
points that lie on that same line
do lines have thickness or width?
no, lines do not have thickness or width
how do you name a line?
name a line by any two points on the line, or a lowercase or italic letter.
(ex: line xy)
non-collinear points–
points that do not lie on the same line
how many points does it take for a point to be non-collinear?
must be at least three points
what is a plane?
a plane is a flat surface made up of points
how many points make up a plane?
any three points make up a plane (non-collinear)
can a plane stop?
no, a plane extends indefinitely in all directions
coplanar points–
points that line on the same plane
non-coplanar points–
points that do not lie on the same plane
at least how many points does it to be non-coplanar?
must be at least four points
true or false: two lines intersect at a point
true
true or false: two planes intersect at a line
true
what is a midpoint?
the midpoint of a segment is a point that divides the segment into two congruent segments
what is it called when line, ray, or segment that intersects a segment at its midpoint?
it is said to bisect the segment and is called the bisector of the segment
what does it mean to partition?
to partition means to divide or seperate a line segment into smaller segments and compare their lengths as a ratio
how are angles formed?
an angle is formed by two rays with a common endpoint, the vertex.
what are the rays called of an angle?
the rays are called the sides
how do you name an angle?
name an angle using three capital letters where the middle litter must always s represent the vertex