Line Segments - Unit 1
What is line segment?
A line segment is a measureable part of a line that consists of two point, called endpoints.
what is this an example of? (If pāq is a true statement and p is true, then q is true.)
Law of detachment
What is a point?
A point is a location. (ex. Point A)
what is a statement?
A statement is any sentence that is either true T or false F, but not both.
where can the midpoint be found?
The midpoint of a segment is the point halfway between the endpoints of the segment.
What are congruent segments?
Two segments that have the same measures
What is the one law that is related to deductive reasoning?
Law of detachment
What is a line?
A line is made up of points and has no thickness or width. there is exactly one line through any two points
what is truth value?
Truth value is the truth or falsity of a statement.
Statements are often represented using a letter such as p or q.
A point is ___ from other
points if it is the same distance from them.
equidistant
If two geometric figure have exactly the same shape and size, what are they?
They are congruent.
What makes an argument valid?
An argument is valid if it is impossible for all the premises, or supporting statements, of the argument to be true and for its conclusion to be false.
A ____ is a flat surface made up of points that
extends infinitely in all directions.
a plane
describe a conditional statement.
A conditional statement is a compound statement that
consists of a premise, or hypothesis, and a conclusion, which is false only when its premise is true and its
conclusion is false.
Any segment, line, plane, or point that bisects a
segment is called a what?
segment bisector
what does this symbol mean? - (ā
)
congruent to
What is used in deductive reasoning?
It uses general fact, rules, definitions, or properties to reach specific valid conclusion from given conclusion
collinear points are what?
Colinear points are points that lie on the same line
what is a biconditional statement?
A biconditional statement is the conjunction of a
conditional and its converse.
what does the midpoint do when it separates a segment into two congruent segments
it bisects
How is betweenness of point described?
For any two real number a and b, there is real number n between a and b such that a < n < b.
What is the Law of Syllogism?
Coplanar points are what?
coplanar points are points that lie in the same plane
how is a compound statement created?
when two or more statements joined by the word and/or
what is the midpoint formula?
M = (x1 + x2 , y1+y2)
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