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Euclid's Parallel Postulate
Through any point NOT on a given line, there is exactly one line that can be drawn parallel to the given line.
Perpendicular
Any two lines, segments, or rays that intersect to form strictly 90 degree (right) angles
Angle Bisector
A line, segment, or ray that divides an angle into two congruent angles (must pass through vertex).
Segment Bisector
line, ray, or segment that passes through the midpoint of another segment
What's this notation mean?
Perpendicular (90 degree angle)
Can a ray be bisected?
No, because the bisector must pass through the midpoint and a ray has infinite length (no midpoint)
Midpoint
The point on the line segment that divides it into two segments of equal length
What is this notation?
Triangle with vertices D, E, and F.
What's this notation mean?
Congruent
Congruent
Having the same size and shape
Equilateral Triangle
Triangle whose three sides are the same length.
What is this?
An arc with endpoints B and C.
What's the difference between a circle and an arc?
An arc is only a portion of a circle, or a subset of the points a fixed radius from a given point.
What is a circle?
The collection (or set) of all points that are a fixed distance (the radius) away from a fixed point (the center point of the circle).
A pair of angles whose measures add up to 90 degrees:
Complementary Angles
A pair of angles whose measures add up to 180 degrees are known as:
Supplementary Angles
Angles that are opposite of each other when two straight lines cross are known as:
Vertical Angles
What does "intersect" mean?
"Meet at a point"
What is a reflex angle?
An angle with a measure between 180 degrees and 360 degrees.
What is a straight angle?
An angle with the measure of 180 degrees (a straight line).
What is a right angle?
An angle with the measure of 90 degrees
What is an obtuse angle?
An angle with the measure between 90 degrees and 180 degrees.
What is an acute angle?
An angle with a measure between 0 degrees and 90 degrees.
Which point is the vertex of this angle?
A
Vertex
The common starting point for the rays of an angle
The amount of rotation needed to rotate one ray about the shared starting point so that it lies on top of the other ray is also known as the...
MEASURE of an angle
Angle
The geometric object created by two rays with a common starting point.
Where does this ray begin?
At point A
What type of geometric object is this?
A ray
What type of geometric object is this?
A line
Ray
An infinite set (collection) of points that extends forever in one direction from a starting point.
Line
An infinite set (collection) of points extending forever in two directions.
Collinear
Means "on the same straight line"
What's the shortest distance between two points?
The length of the straight line segment that connects them.
What's this notation?
Line segment starting at point E and ending at point F
AC (notation)
The linear distance between points A and C
Distance
The length of a straight line segment that connects two points
What's this?
Point C
Point
A physical location in space that has no dimensions (length, width, or height)
Geometry
Study of the properties of space (distance, size, shape, and angle)
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