Midpoint and Bisectors
fill in the blank: The ______ of a segment is the point halfway between the endpoints of the segment.
Midpoint
For any two real numbers a and b, there is a real
number n between a and b such that ᵄ < ᵅ < ᵄ. This
relationship also applies to points on a line and is
called _______ .
betweenness of points.
These are two angles whose measures add up to 90°.
complementary angles
A statement that can be proven true or false.
proposition
A straight path that extends forever in opposite directions.
line
Any segment, line, plane, or point that bisects a segmentis called a _______ .
Segment bisector.
-x / 3 = 17
x = -51
Two angles that add up to 180°.
supplementary angles
A logical statement in “if–then” form.
conditional statement
Lines that never intersect and are in the same plane.
parallel lines
what is the midpoint formula?
M = x1 + x2
________
2
A ____ _____ is a measurable part of a line that
consists of two points, called endpoints, and all of the
points between them.
Line segment
A pair of angles that share a vertex and a side.
adjacent angles
In a conditional statement, this part follows the “if.”
hypothesis
When two lines intersect, they meet at this.
point
A point is _____ from other points if it is the same distance from them.
equidistant
35 + x = 90
x = 55
The point where two rays meet to form an angle.
vertex
In a conditional statement, this part follows the “then.”
conclusion
Points A, B, and C lie on the same line. This means they are this.
collinear
what is the midpoint of -5 and 7?
answer: 1
3x = 180
60
The type of angle that measures more than 90° but less than 180°
obtuse angle
A statement formed by switching the hypothesis and conclusion of a conditional.
converse
Two lines that intersect in exactly one point are neither parallel nor this.
skew