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Gill Geometry - Chapter 1
Key Terms, Postulates
47
Education
10th Grade
09/13/2011

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Term
The intersection of to lines is a ...
Definition

 

point



[image]

Term
angle
Definition
A figure formed by two rays with a common endpoint.[image]
Term
collinear
Definition
Points lying on the same line.[image]
Term
coplanar
Definition
Points lying on the same plane.[image]
Term
intersect
Definition
Two or more points in common.[image]
Term
line
Definition
An undefined term in geometry, understood to be perfectly straight, has no thickness, contain and infinite amount of points, and extend infinitely in both directions.[image]s.
Term
plane
Definition

An undefined term in geometry, which is understood to be a flat surface that extends infinitely in all directions.

[image]

Term
point
Definition
An undefined term in geometry, that can be thought of as a dot that represents a location in space that has no size.[image]
Term
postulate
Definition
A statement that is accepted as true without proof.
Term
ray
Definition

A part of a line that starts at a point and extends infinitely in one direction.

[image]

Term
segment
Definition
A part of a line that begins at one point and ends that another.[image]
Term
vertex of an angle
Definition
The point in common of the two rays that form an angle.[image]
Term
The intersection of two planes is a ...
Definition

line.

[image]

Term
Through any two points there is one and only ...
Definition

line

.[image]

Term
Through any three noncollinear points there is one and only one...
Definition

plane.

[image]

Term
If there are two points in a plane, then the line containing them is in the ...
Definition

plane.

[image]

Term
congruent
Definition

The relationship between figures having the same size and shape.

[image]

Term
length
Definition

The distance from one endpoint to another.

abs val ( a - b )  or

abs val ( b - a )

Term
Segment Congruence Postulate
Definition

If two segments have the same length as measured by a fair ruler, then the segments are congruent. Also, if two segments are congruent, then they have the same length as measured by a fair ruler.

Term
Segment Addition Postulate (line including points PQR)
Definition

If point Q is between points P and R on a line, then PQ + QR = PR



[image].

Term
acute angle
Definition

An angle whose measure is less than 90 degrees.

 

[image]

Term
complementary angles
Definition

Two angles whose measure has a sum of 90 degrees.

 

[image]

Term
linear pair of angles
Definition

These angles are created when two lines intersect.  The measure of the line is 180 degrees, so the angles must also sum 180 degrees.

 

[image]

Term
obtuse angle
Definition

An angle whose measure is greater than 90 degrees.

 

[image]

Term
right angle
Definition

An angle whose measure is 90 degrees.

 

[image]

Term
supplementary angles
Definition

Two angles whose sum has a measure of 180 degrees.

 

[image]

Term
Angle Addition Postulate
Definition

Angle Addition Postulate states that if a point S lies in the interior of ∠PQR, then ∠PQS + ∠SQR = ∠PQR.

 

[image]

Term
Angle Congruence Postulate
Definition

If angles have the same measure, then they are congruent.  If two angles are congruent, then they have the same measure.

 

[image]

Term
Linear Pair Property
Definition

If two angles form a linear pair, then they are supplementary.

 

[image]

Term
angle bisector
Definition

A ray that divides an angle into two congruent angles.

 

[image]

Term
center of rotation
Definition

The point at which an image rotates around.

 

[image]

Term
circumcenter
Definition

The center of a circumscribed circle; the point which the three perpendicular bisectors of the sides of a triangle intersect.

 

[image]

Term
circumscribed circle
Definition

A circule that is drawn around the outside a triagle and contains all three vertices.

 

[image]

Term
concurrent
Definition

Literally, "running together"; of three or more lines, intersecting at a single point.

 

[image]

Term
conjecture
Definition
A statement that is believed to be true.
Term
endpoint
Definition

A point at an end of a segment or the starting point of a ray.

 

[image]

Term
incenter
Definition

The center of an inscribed circle; the point where the three angle bisectors of a triangle intersect.

 

[image]

Term
inscribed circle
Definition

Is a circle inside a triangle that touches each side of the triangle at one point.

 

[image]

Term
midpoint of a segment
Definition

The point that divides a segment into two congruent segments.

 

[image]

Term
parallel lines
Definition

Coplanar lines that never intersect.

 

[image]

Term
perpendicular bisector
Definition

A line that is perpendicular to a segment at its midpoint.

 

[image]

Term
perpendicular lines
Definition

Lines that intersect to form right angles.

 

[image]

Term
preimage
Definition
A shape that undergoes a motion or a transformation.
Term
reflection
Definition

A transformation that creates a mirror image.

 

[image]

Term
rotation
Definition

A transformation where the image is rotated around a single point.

 

[image]

Term
translation
Definition

A transformation in which every point on the image moves/slides the same direction.

 

[image]

Term
rigid transformation
Definition
A transformation that does not change the shape or size of a figure.
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