Geometry Vocabulary ...
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Geometry Vocabulary
Use Segments and Congruence
Midpoint and Distance Formulas

Postulate, Axiom Theorem
 Postulate  A rule that is accepted without proof
 Another name for this is Axiom
If the Postulate can be proven it is called a Theorem
Theorems are the Laws of Geometry
Vocab

Coordinate Plane
Way of Mapping Data X axis : Left to Right
Y axis : Down to Up
Points: (x,y)
Locate: (3,4)
Locate: (2,4)
Locate: (5,5)
Vocab

Coordinate Plane
4 quadrants:
Quadrant 1: (+,+)
Quadrant 2: (,+)
Quadrant 3: (,)
Quadrant 4: (+,)
The Origin (0,0)
Vocab

Distance
Absolute Value of the difference in coordinate values
1) Count the Units
2) What Now?
Vocab

Congruent
Congruent  Amounts / Shapes that are equal
Why such a funny word that basically means "equal"?
Probably because they would only be "equal" if laid on top of each other. Anyway it comes from Latin congruere, "to agree". So the shapes "agree
Vocab

Congruent
Congruent  Shapes that are equal
Vocab

Congruent Segments
Congruent Segments Line Segments that have equal values
Vocab

Ruler Postulate Postulate
Ruler Postulate Points on a line can be paired with real numbers and distance between the two points can be found by finding the absolute value of the difference between the numbers. Remember all distance measures must be positive.

Ruler Postulate
Postulate

Ruler Postulate Postulate
Ruler Postulate You can use a number line to measure distance

Betweenness Theorem
If a point is between two endpoints of a line segment, you can add the distance from the point to one endpoint of the line segment to the distance from the point to the other endpoint of the line segment to get the length of the line segment.

Betweenness Theorem
If a point is between two endpoints then I can add the two parts to make the whole.

Segment Addition Postulate
Segment Addition Postulate
 if B is between A and C, then AB + BC = AC
Formula

Bisector
Bisect to cut something in half
Bisector A geometric Figure that cuts another figure (line segment) in half
Vocab

Segment Bisector
Segment Bisector a point, ray, line, line segment or plane that intersects a line segment at its midpoint
Vocab

Midpoint
1. Midpoint The Point of a Segment that divides a line segment into two congruent line segments
Vocab

Midpoint Formula
Midpoint Formula the coordinates of the midpoint of a segment are the averages of the xcoordinates and ycoordinates
Formula
x1+x2 2
y1+y2 2
Points: (x,y) A: (6,3)
(x1,y1)
B: (4,9) (x2,y2)
6+4 2
3+9 2
Midpoint: (5,6)

Midpoint Formula  Examples Formula
x1+x2 2
y1+y2 2
A: (2,4) (x1,y1)
B: (12,2) (x2,y2)
2+12 2
4+2 2
Midpoint: (7,3)
x1+x2 2
y1+y2 2
A: (2,4) (x1,y1)
B: (10,4) (x2,y2)
2+10 2
4+(4) 2
Midpoint: (4,0)

Distance Formula
Distance Formula if A (x1,y1) and B (x2,y2), then the distance from A to B is:
Formula
AB = (x2 x1)2 + (y2 y1)2
Points: (x,y) A: (6,3)
(x1,y1)
B: (4,9) (x2,y2)
AB = (4 6)2 + (9 3)2 AB = (2)2 + (6)2 AB = 4 + 36 AB = 40 units or 6.32
units

Distance Formula  Examples
Distance Formula if C (x1,y1) and D (x2,y2), then the distance from A to B is:
Formula
CD = (x2 x1)2 + (y2 y1)2
Points: (x,y) C: (4,5)
(x1,y1)
D: (2,3) (x2,y2)
CD = (2 4)2 + (3 5)2
CD = (6)2 + (8)2 CD = 36 + 64 CD = 100 = 10 units

Distance Formula  Examples
Distance Formula if E (x1,y1) and F (x2,y2), then the distance from A to B is:
Formula
EF = (x2 x1)2 + (y2 y1)2
Points: (x,y) E: (2,2)
(x1,y1)
F: (5,6) (x2,y2)
EF = (5 2)2 + (6 2)2 EF = (3)2 + (4)2 EF = 9 + 16 EF = 25 = 5 units
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