Points, lines, and planes
What is a point?
A point is a location. It has neither shape nor
size.
What is a midpoint?
The midpoint of a segment is the point halfway between the endpoints of the segment.
these angles share a vertex and a common side.
adjacent angles.
what is a complementary angle?
two angles whose measures add up to exactly 90 degrees, forming a right angle
what is a if then sentence of the sentence:
"a right angle measures 90 degrees"
if an angle is a right angle, then it measures 90 degrees
how many points are needed to make a plane?
3 Nonlinear.
True or False: An angle bisector divides a angle into two congruent angles.
True
a line that is perpendicular to a segment at its midpoint.
perpendicular bisector
if an angle is 180 degrees and you split it evenly how large is each?
90 degrees.
a statement that uses "if and then"
conditional statement.
What is a line segment?
A line formed by two points.
How can you tell if a point is the midpoint of a segment?
A point is the midpoint if it divides the segment into two equal parts.
a flat surface extending endlessly in all directions
a plane
two angles form from a linear pair. if one angle measures 132 degrees, what is the measure of the other?
48 degrees
a statement that uses "if and only if"
biconditional
If two planes intersect, what is their intersection?
a straight line
If point M is the midpoint of AB, and AB= 12cm, what is the length of AM?
6cm
this is formed by both switching and negating the hypothesis and the conclusion.
contrapositive
if an angle is 30 degrees less than its supplement, find the angle.
X=75 degrees
this is formed by switching the hypothesis and conclusion of a conditional.
converse
if two lines do not intersect and are not parallel, what type of lines are they?
Skew lines
if a point M is the midpoint of AB, what must be true about AM and MB?
AM = MB
when three or more points lie on the same straight path, they are called this.
collinear
A transversal cuts two parallel lines. if a corresponding angle is 62 degrees, what is the measure of all other angles?
All Acute= 62 degrees
All Obtuse = 118 degrees
a conditional that is false must have a false conclusion and this type of hypothesis.
true hypothesis