Geometry - Units One And Two

Front 1

Point

Back 1

A point has no dimension. It is usually represented by a small dot.

Front 2

Line

Back 2

A line extends in one dimension. It is usually represented by a straight line with two arrows to indicate that the line extends without end in two directions.

Front 3

Plane

Back 3

A plane extends in two dimensions. It is usually represented by a shape that looks like a tabletop or wall. You must imagine that the plane extends without end, even though the drawing of a plane appears to have edges.

Front 4

Collinear

Back 4

Collinear (Points) - Points that lie ON THE SAME LINE.

Front 5

Coplanar

Back 5

Coplanar (Points) - Points that lie ON THE SAME PLANE.

Front 6

Segment

Back 6

(Line) Segment - PART OF A LINE that consists of two points called endpoints, and all points that are between the endpoints.

Front 7

Ray

Back 7

Part of a line that consists of a point called an initial point, and all points on the line that extend in one direction.

Front 8

Opposite Rays

Back 8

If "c" is between "a" and "b", that "ray ca" and "ray cb" and opposite rays.

Front 9

Endpoints

Back 9

Part of a line that consists of two points, called ENDPOINTS.

Front 10

Initial Point

Back 10

The Starting Point.

Front 11

Intersection

Back 11

The set of points that two or more geometric figures have in common.

Front 12

Angle Addition Posulate

Back 12

If "p" is in the interior of "<rst", then "m<rsp + m<pst = <rst"

Front 13

Adjacent Angles

Back 13

Two angles with a common vertex and side but no common interior points.

Front 14

Pythagorean Theorem

Back 14

The formula used to find the hypotenuse of a triagle.

Front 15

Distance Formula

Back 15

If A (x sub 2, y sub 2) and B (x sub 1, y sub 1) are points in a coordinate plane, then the distance between A and B is ab= the square root of (x sub 2 - x sub 1) squared + (y sub 2 - y sub 1) squared.

Front 16

Midpoint Formula

Back 16

If A (x sub 1, y sub 1) and B (x sub 2, y sub 2) are points in a coordinate plane, that the midpoint of line ab has coordinates (x sub 1 + x sub 2) over 2, (y sub 1 + y sub 2) over 2.

Front 17

Bisector

Back 17

A segment, ray, line, or plane that intersects a segment at its midpoint.

Front 18

Vertical Angles

Back 18

Two angles whose sides form two pairs of opposite rays.

Front 19

Adjacent Angles

Back 19

Two angles with a common vertex and side but no common interior points.

Front 20

Linear Pairs

Back 20

Two adjacent angles whose noncommon sides are opposite rays.

Front 21

Supplementary Angles

Back 21

Two angles whose measures have the sum of 180 degrees.

Front 22

Complementary Angles

Back 22

Two angles whose measures have the sum of 90 degrees.

Front 23

Complement

Back 23

The sum of the measures of an angles and its complement is 90 degrees.

Front 24

Supplement

Back 24

The sum of the measures of an angle and its supplement is 180 degrees.

Front 25

Conditional Statements

Back 25

A type of logical statement that has two parts. A hypothesis and a conclusion. (P implies Q)

Front 26

Hypothesis

Back 26

The "if" part of a conditional statement.

Front 27

Conclusion

Back 27

The "then" part of a conditional statement.

Front 28

Converse

Back 28

The statement formed by switching that hypothesis and conclusion of a conditional statement. (Q implies P)

Front 29

Inverse

Back 29

The statement formed when you negate the hypothesis and conclusion of a conditional statement. (Not P imples Not Q)

Front 30

Negation

Back 30

The negative of a statement. The negatiopn symbol is ~.

Front 31

Contrapositive

Back 31

The statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement. (Not Q implies Not P)

Front 32

Equivelent Statements

Back 32

Two statements that are both true or both false.

Front 33

Perpendicular Lines

Back 33

Two lines that intersect to form a right angle.

Front 34

Line Perpendicular To A Plane

Back 34

A line that intersects that plane in a point and is perpendicular to every line in the plane that intersects it.

Front 35

Biconditional Statement

Back 35

A statement that contains the phrase "If and only If".

Front 36

Law of Detatchment

Back 36

If P implies Q, is a true statement, and P is true, then Q is true.

Front 37

Law of Syllogism

Back 37

If P imples Q and Q implies R are both true conditional statements, that P implies R is true.