Geometry Chapter 1, Section 1.2
How many bisectors can a segment have?
Infinite
How many planes do collinear points form?
Infinite number of planes.
If two lines intersect, what will be formed?
Vertical angles
Can you add measures?
Yes
If two lines intersect, must they be coplanar?
Yes
A line and plane can have how many points in common?
0,1, or infinite.
What is the intersection of two different planes?
A line.
What is a theorem?
A conjecture that has been proven to be true.
What is a postulate?
A statement accepted without proof.
Coplanar angles are (A,S,N) adjacent.
Always
If a line and a plane have no points in common, they they are (A,S,N) parallel.
Always
If a plane, and a line not fully contained in this plane, intersect, they (A,S,N) intersect at exactly one point.
Always
In a plane, two lines perpendicular to the same line are (A,S,N) parallel.
Always
Through a point outside a plane, there are (A,S,N) infinitely many lines parallel to the plane.
Always
Two planes parallel to the same plane, are (A,S,N) parallel to each other.
Always
Vertical angles are (A,S,N) congruent.
Always
What is a conjecture?
An unproven statement based on patterns and observations.
What are vertical angles?
Angles whose sides form two pairs of opposite rays.
How many points does space contain?
At least four not all in one plane.
How many points does a plane contain?
At least three not all on one line.
How many points does a line contain?
At least two
What is the segment addition postulate?
B is between A and C if and only if AB+BC=AC
Why is the word coplanar important to the definition of parallel lines?
Because skew lines do not intersect but are never coplanar.
Can complementary angles be adjacent or nonadjacent angles?
Both
For a point to be between two others, all 3 points must be _________
Collinear
What are parallel lines?
Coplanar lines that do not intersect.
Measures are _______, angles are _______
Equal, congruent
If two lines intersect, how many planes contain both lines?
Exactly one
If a point lies outside a line, how many planes contain the line and the point?
Exactly one.
What is the angle addition postulate?
If B is in the interior of <AOC then m<AOB + m<BOC = m<AOC
Does between and midpoint mean the same thing?
NO
In a plane, two lines perpendicular to the same line are (A,S,N) perpendicular to each other.
Never
Vertical angles are (A,S,N) adjacent angles.
Never
Can you add angles?
No
What are congruent objects?
Objects that have the same size and shape
How many bisectors can an angle have?
One bisector
How many planes do three noncollinear points form?
One plane
What makes parallel lines and intersecting lines different?
Parallel lines have not point in common, whereas intersecting lines have exactly one point in common.
What is a case where four points are not coplanar?
Parallel planes
What is the difference between parallel planes and intersecting planes?
Parallel planes have no lines in common, whereas intersecting lines have exactly one line in common.
Adjacent angles are (A,S,N) complementary.
Sometimes
If two lines are perpendicular to the same line, they they are (A,S,N) parallel.
Sometimes
Three or more points are (A,S,N) collinear.
Sometimes
Three points (A,S,N) form A plane.
Sometimes
Two planes parallel to the same line are (A,S,N) parallel to each other.
Sometimes
Three intersecting planes (A,S,N) have exactly one point in common.
Sometimes (Corner of room and flippy book)
Vertical angles are (A,S,N) supplementary.
Sometimes.
What is the definition of a midpoint?
The midpoint of a segment is the point that divides the segment into two congruent segments
What do parallel lines and intersecting lines have in common?
They are both coplanar.
What are the three parts of opposite rays?
They extend in opposite directions Must be on the same line Must share an endpoint
Through any _______ points there is exactly one plane.
Three
When more than one angle meet at a vertex, how many points must you use to name that angle?
Three points.
What is a biconditional statement?
True both forwards and backwards.
What are complementary angles?
Two angles whose same is 90 degrees.
