Term
|
Definition
The straight path connecting two points and extending beyond the points in both directions. |
|
|
Term
|
Definition
A flat surface extending in all directions.
A plane is a two-dimensional figure.
[image]
|
|
|
Term
formula used to find
perimeter of a rectangle |
|
Definition
P = 2L + 2W
[image]
P = 2(8) + 2(4)
P = 16 + 8
P = 24
|
|
|
Term
|
Definition
points that lie on the same plane
[image] |
|
|
Term
|
Definition
The sum of the measures of two angles is 90 degrees
[image] |
|
|
Term
|
Definition
the 2 sides that form the right angle |
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
the set of points consisting of two distinct points and all inbetween them; written [image]
|
|
|
Term
|
Definition
special intersecting lines that form right angles
[image] |
|
|
Term
|
Definition
Angles in the same plane that have a common vertex and a common side, but no common interior points
[image] |
|
|
Term
|
Definition
points lying on the same line
[image] |
|
|
Term
|
Definition
|
|
Term
formula used to find area of a rectangle |
|
Definition
A = L • W
[image]
A = 8 • 4
A = 32
|
|
|
Term
|
Definition
Where the two rays making up angle meet.
[image] |
|
|
Term
|
Definition
adjacent angles whose noncommon sides are opposite rays[image] |
|
|
Term
|
Definition
cuts a segment into 2 equal halves
[image] |
|
|
Term
|
Definition
cuts an angle into 2 equal angles
[image] |
|
|
Term
|
Definition
An exact location in space, usually represented by a dot and labeled with a capital letter
• A
|
|
|
Term
|
Definition
Two angles whose measures have a sum of 180
[image]
|
|
|
Term
|
Definition
two nonadjacent angles formed by two intersecting lines[image] |
|
|
Term
|
Definition
points that do not all lie on a single line
|
|
|
Term
|
Definition
angle whose measure is 90°
[image]
|
|
|
Term
|
Definition
angle whose measure is less than 90°
[image] |
|
|
Term
|
Definition
angle whose measure is greater than 90°
[image] |
|
|
Term
[image]
What is the name of the line on the left?
Are the points collinear or noncollinear?
Why does the line on the right have a m? |
|
Definition
points A and B are collinear
You can call that Line AB or [image]
You can also label a line by a lowercase script letter like line m |
|
|
Term
|
Definition
A part of a line starting at a particular point and extending infinitely in one direction.
[image] |
|
|
Term
|
Definition
Two rays sharing a common endpoint.
[image] |
|
|
Term
|
Definition
|
|
Term
|
Definition
The longest side of a right triangle. It is directly across from the right angle.
[image] |
|
|
Term
|
Definition
|
|
Term
|
Definition
a point that divides a segment into two equal pieces
[image] |
|
|
Term
midpoint formula for segment |
|
Definition
|
|
Term
|
Definition
an assumption based on given information;
an educated guess |
|
|
Term
|
Definition
if not q, then not p
Switching the hypothesis and conclusion of a conditional statement and negating both.
"If it is raining then the grass is wet"
the contrapositive is
"If the grass is not wet then it is not raining."
|
|
|
Term
|
Definition
Switching the hypothesis and conclusion of a conditional statement.
"If it is raining then the grass is wet"
The converse is
"If the grass is wet then it is raining." |
|
|
Term
|
Definition
Negating both the hypothesis and conclusion of a conditional statement.
"If it is raining then the grass is wet"
The inverse is:
"If it is not raining then the grass is not wet". |
|
|
Term
|
Definition
One example that proves a conjecture false. |
|
|
Term
|
Definition
States that if p=>q is true and p is true, then q must be true.
If an angle is obtuse, then it cannot be acute. Angle A is obtuse. Therefore Angle A cannot be acute |
|
|
Term
|
Definition
If p=>q and q=>r are both true, then p=>r is true.
If the electric power is cut, then the refrigerator does not work. If the refrigerator does not work, then the food is spoiled. So if the electric power is cut, then the food is spoiled. |
|
|
Term
|
Definition
A method used to arrive at a conjecture which involves looking at specific situations. |
|
|
Term
|
Definition
A quantity is congruent (equal) to itself.
a = a |
|
|
Term
|
Definition
|
|
Term
|
Definition
If
a = b
and
b = c
then
a = c |
|
|
Term
Addition and Subtraction Properties |
|
Definition
if a = b then
a + c = b + c
and
a - c = b - c
|
|
|
Term
Multiplication and Division Properties |
|
Definition
If a = b
then
a • c = b • c
if c is not 0
then
a = b
c c |
|
|
Term
Angle Addition Postulate
(ADD) |
|
Definition
The measure of the larger angle is the sum of the measures of the two smaller ones.
[image] |
|
|
Term
Segment Addition Postulate
(SAP) |
|
Definition
The distance from one endpoint to the otherendpoint is the sum of the distances from a point between them to either endpoint.
|
|
|
Term
|
Definition
A line that intersects 2 or more lines. |
|
|
Term
|
Definition
Angles that are between the 2 lines intersected by the transversal. |
|
|
Term
alternate Interior Angles |
|
Definition
2 Non-Adjacent angles on opposite sides of the transversal. |
|
|
Term
consecutive Interior Angles |
|
Definition
2 Interior angles on the same side of the transversal. |
|
|
Term
|
Definition
Angles formed by 2 lines intersected bty a transversal and lie on the outside of the 2 lines. |
|
|
Term
Alternate Exterior Angles |
|
Definition
2 non-adjacent Exterior angles that are on opposite sides of the Transversal. |
|
|
Term
|
Definition
2 non adjacent angles (1 - interior and 1- exterior) that are on the same side of the transversal |
|
|