Name:___________________________________
Foundations: Notes Packet
Date:_______ Period:______
Ms. Anderle
Foundations: Notes Packet
Important Vocabulary
________________________: a term that is used without a _______________ example or
description. We use these terms to describe other terms in geometry.
1. _________________: a _____________. A point has ______________________. When
we name a point, we name it by a capital letter.
Example:
2. _________________: made up of points and has no _______________ or ___________.
There is ____________________ line through any ______________ points. A line can
either be named by two points on that line or a lowercase script letter.
Example:
3. ________________: a flat surface that extends _________________ in all directions.
There is exactly one plane through any _______________ points that are not on the
_____________ line. A plane is named by a capital script letter or by any three points on
that plane.
Example:
Fundamental Definitions in Vocabulary:
Definitions Related to Points

_______________: the set of __________ points

__________________: any set of ________________.
o ________________ Figure: all points lie on the same ______________________.
o ________________ Figure: a _________ figure, sketched ________________ the
plane.

____________________: the set of all ______________ common to __________ or
more figures.

_________________________: points that lie on the same ___________________.

_________________________: points that _____________ lie on the same
___________________.

_________________________: figures that lie on the same ________________.

_________________________: figures that ________________ lie on the same
________________.
Definitions Related to Line Segments:
1. Line ____________________: a part of a ______________ that ______________ at one
point and ____________ at another.
Example:
2. ___________________________: ________________ of a segment between its two
_____________________.
3. __________________ Segments: segments that have the _____________ exact
__________________.
Example:
4. _______________________: divides a segment into two __________________ segments.
Example:
Basic Postulates for Points, Lines, and Planes:
___________________________: statements that are considered ____________________,
even __________________ proof.

Unique Line Postulate: through any _____________ points is _____________________
line.

Line Intersection Postulate: if lines intersect, then they intersect in exactly one
__________________.

Plane Intersection Postulate: through any ________________ non-collinear points,
there is exactly one ________________.
Definitions Related to Rays:
1. Ray: a part of a line that _________________ at one point and extends
________________ (without end) in ____________ direction. We name a ray by its
endpoint and one other point on that ray.
Example:
2. ____________________ of a Ray: the point at which the ray ________________ from.
3. Opposite Rays: two rays that _______________ together to form a ______________.
Opposite rays share a common ____________________ and extend in ______________
directions.
Example:
4. Angle: a figure formed by _______________________ with a ______________
endpoint. Each ray is the __________________ of the angle and each endpoint is the
____________________ of the angle.
a. A ___________________ of an angle is the place where the two _____________
meet.
Example:
Definitions Related to Angle Measure:
1. ____________________ Angles: Angles that are ________________ in measure.
Example:
2. _________________ Angle: an angle whose measure is ______________ than _____
degrees, but ____________ than ______ degrees.
Example:
3. _________________ Angle: an angle whose measure is ______________ than ______
degrees, but _____________ than ________ degrees.
Example:
4. _________________ Angle: an angle whose measure is ____________
degrees.
Example:
_______
5. _________________ Angle: an angle whose measure is ____________
degrees.
Example:
_______
Angle Pairs:
1. ___________________________ Angles: Two angles whose measure has a _________
of ________ degrees. Each angle is said to be the _________________ of each other.
Example:
2. ____________________________ Angles: Two angles whose measure has a _________
of ______________ degrees. Each angle is said to be the _________________ of each
other.
Example:
3. ___________________ Angles: Two ____________ angles that share a common
_____________ and a common ________________, but have _________ interior points.
Example:
4. _____________________ Pair: When the two __________________ sides of adjacent
angles are ___________________ rays. A linear pair creates a __________________.
Example:
5. __________________________ Postulate: If two angles form a _________________,
then they are _____________________________.
6. _______________________ Angles: Two angles that are directly __________________
each other. A pair of vertical angles are _______________________.
Example:
Different Types of Lines:
1. _____________________ Lines: coplanar lines that ___________________________.
The symbol for parallel lines is: ________
Example:
2. ___________________________ Lines: coplanar lines that __________________ to
form ________________________. The symbol for perpendicular lines is: __________
Example:
3. ____________________ Lines: lines that are not on the same _____________________.
Example: