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Foundations of Geometry
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1.
Point
Names a location and has no size
26.
Straight Angle
Angle whose measure is exactly 180
degrees
2.
Line
Straight path that extends forever in both
directions. Through any 2 points, there exists
exactly 1 ______.
27.
Angle Addition
Postulate
If S is in the interior of <PQR, then m<PQS
+ m<SQR = m<PQR
Congruent
Angles
Angles of equal measure
Adjacent
Angles
Two angles in the same plane with a
common vertex and a common side
Linear Pair
Two adjacent angles whose non-common
sides form an opposite ray
Complementary
Angles
Two angles whose measures sum to 90
degrees
Supplementary
Angles
Two angles whose measures sum to 180
degrees
Vertical Angles
Two nonadjacent angles formed by two
intersecting lines
Coordinate
Plane
Plane divided into four regions by a
horizontal line (x-axis) and a vertical line
(y-axis)
35.
Ordered Pair
The location, or coordinates of a point
(x,y)
36.
Right Triangle
Triangle with one right angle
37.
Hypotenuse
Side of a right triangle that is across from
its right angle, its longest side
Pythagorean
Theorem
In a right triangle, the length of the
hypotenuse squared is equal to the sum of
the little leg squared plus the big leg
squared
Legs (of a right
triangle)
The two sides that form the right angle
Midpoint
Formula
(average of the x values of the of ordered
pairs of the endpoints, average of the y
values of the ordered pairs of the
endpoints)
Plane
Flat surface that extends forever in all
directions. Through any 3 noncollinear
points, there exists exactly 1 ______.
Undefined
Terms
Points, Lines, and Planes are
____________ because they cannot be
defined using any other figures. They are our
"building blocks" of Geometry.
5.
Collinear
Points on the same line
6.
Coplanar
Points on the same plane
32.
7.
Ray
Starts at one endpoint and extends forever in
one direction
33.
Opposite
Ray
Two rays with a common endpoint that form a
line
34.
9.
Segment
Portion of a line, starts and stops
10.
Endpoint
Point that starts/stops a segment/ray
11.
Distance
Absolute value of the difference of the
coordinates, also called the length
12.
Congruent
Having the same shape and size, equal
13.
Midpoint
Point that divides a segment into two
congruent pieces
14.
Bisect
To cut into two congruent pieces
Segment
Bisector
Any ray, segment, or line that intersects a
segment at its midpoint
Congruent
Segments
Segments of equal length
39.
Construction
A precise way of creating figures using a
compass and a straight edge
40.
Segment
Addition
Postulate
If B is between A and C, then AB + BC = AC.
"The part plus the part equals the whole."
19.
Angle
Figure formed by two rays with a common
endpoint
20.
Vertex
Common endpoint of two rays
21.
Degree
Since there are 360 of these in a circle, one of
these represents 1/360th of a circle. They can
be measured using a protractor.
Angle
Bisector
Ray that divides an angle into two congruent
angles
23.
Acute Angle
Angle whose measure is less than 90 degrees
24.
Right Angle
Angle whose measure is exactly 90 degrees
25.
Obtuse Angle
Angle whose measure is more than 90 degrees
but less than 180 degrees
3.
4.
8.
15.
16.
17.
18.
22.
28.
29.
30.
31.
38.