Points, Lines, and Planes
A line is made up of what?
Points
What is a midpoint?
A point that is in the middle of a line segment.
What is a line segment?
A part of a line that connects two points.
What is a directed line segment?
A line segment that has an initial endpoint and a terminal endpoint.
Where can you find a point at a fractional distance on the coordinate plane?
You can find a point on a directed line segment that is a fractional distance from an endpoint on the coordinate plane.
Should you use a capital or lowercase letter when naming a point?
Capital
What is a bisector?
A line that divides something into two equal parts.
How do you name a line segment?
Using the two endpoints.
What is the fractional distance?
When you are calculating the coordinate of an intermediary point some fraction of the length of the segment from the initial endpoint.
When do you use the section formula?
You use the section formula to locate a point that partitions a directed line segment on the coordinate plane.
A plane is a _ surface.
Flat
X1 + X2 / 2 , Y1 + Y2 / 2
What is the word for two geometric figures that have the same shape and size?
Congruent.
An example of a coordinate equation
x1=-8, x2=4, and a/b = 1/3
How do you locate the points on a coordinate plane with fractional distance?
You can find a point on a directed line segment that is a fractional distance from an endpoint on the coordinate plane.
A point has neither _ or _.
Shape or size.
What is the section formula used for?
To derive the Midpoint Formula.
Another point is between the main two points.
How do you locate points on a number line with a given ratio?
You can calculate the coordinates of the intermediary point that partitions the directed line segment into a given ratio.
What is the Pythagorean theorem?
a2+b2=c2
What are collinear points?
Points that lie on the same line.
What is the section formula?
nx1+mx2 / m+n
What are two segments that have the same measure called?
Congruent segments.
What is the first step when finding the coordinates of a point that has a distance?
Calculate the difference between the 2 original coordinates.
What is the fractional distance formula?
x1+a/b (x2-x1), y1+a/b (y2-y1)