JHEUSY DELPOZO TOGANS 9/17/10

TABLE OF CONTENTS

PAGE 1-PARALLEL LINES PAGE 2-TWO CONGRUENT LINES PAGE 3-VERTICAL LINES PAGE 4- PERPENDICULAR LINES PAGE 5-INTERSECTING LINES PAGE 6-SUPPLEMENTARY ANGELSS PAGE 7-DIFFERENT PROPORTIONS

VOCABULARY

PAGE 8-POINT PAGE 9-LINE PAGE10-LEGNTH PAGE11-SEGMENTPAGE12-RAYPAGE13-POSTULTE

VOCABULARY

PAGE14-ANGLEPAGE15-PROTRACTORPAGE16-ACUTEPAGE17-OBTUSEPAGE18-RIGHT PAGE19-STRAIGHT PAGE20-BISECTOR

VOCABURLAY

PAGE21-COMPLEMENTARY ANGELS PAGE22-SEGMENT ADDITION

POSTULATE PAGE23-ANGLE ADDITION PAGE24-DISTANCE FORMULA PAGE25-MIDPOINT FORMULA PAGE26-IRRATIONAL NUMBER

Parallel lines

Parallel Lines are lines that never intersect. Two non-vertical lines are parallel if and only if they have the same slope.

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Two congruent objects

TWO CONGRUENT OBJECTS-two figures are congruent if they have the same shape and size. More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of translations, rotations and reflections.

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Vertical angels

Vertical Angles are the angles opposite each other when two lines cross

They are called "Vertical" because they share the same Vertex. (or corner point)

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PERPENDICUALAR LINES

Two lines are perpendicular if the product of their slopes is -1. Also, the two intersecting lines form right angles. In a coordinate plane, perpendicular lines have opposite reciprocal slopes.

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INTERSECTING LINES

INTERSECTING LINES-Lines that intersect in a point are called intersecting lines. Lines that do not intersect are called parallel lines in the plane, and either parallel or skew lines in three-dimensional space.

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SUPPLYEMENTARY ANGELS

SUPPLYEMENTARY ANGELS-These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°. Notice that together they make a straight angle.

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DIFFERENT PROPORTIONS

Harmonic relation between parts, or between different things of the same kind; symmetrical arrangement or adjustment; symmetry; as, to be out of proportion.

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POINTS

In geometry, topology and related branches of mathematics a spatial point is a primitive notion upon which other concepts may be defined. In geometry, points have neither volume, area, length, nor any other higher dimensional analogue. Thus, a point is a 0-dimensional object. In branches of mathematics dealing with set theory, an element is often referred to as a point.

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LINE

In Euclidean geometry, a line is a straight curve. When geometry is used to model the real world, lines are used to represent straight objects with negligible width and height.

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LENGTH

Geometric measurements, length most commonly refers to the longest dimension of an object. In certain contexts, the term "length" is reserved for a certain dimension.

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Segment

A line has no endpoints, therefore you cannot measure how long it is.A line segment however, has 2 endpoints and the length of a line segment can be measured.

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RAY

A ray is a part of a line that begins at a particular point (called the endpoint) and extends endlessly in one direction. A ray is also called half-line.

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POSTULATE

The Basic Postulates & Theorems of Geometry. These are the basics when it comes to postulates and theorems in Geometry. These are the ones that you have to know.

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ANGLE

In geometry, an angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle.[1] The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other (see "Measuring angles", below).

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PROTRACOR

In geometry, a protractor is a circular or semicircular tool for measuring an angle or a circle. The units of measurement utilized are usually degrees.

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ACUTE

In geometry, an angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle.[1] The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other (see "Measuring angles", below)

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OBTUSE

slow to understand: slow to understand or perceive something

- between 90º and 180º: describes an angle greater than 90º and less than 180º

- with internal angle greater than 90º: describes a triangle with one internal angle greater than 90º

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RIGHT

In geometry we frequently refer to what are called reference right triangles. These are right triangles whose angles measure 30-60-90 degrees, and also 45-45-90 degrees.

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STRAIGHT

In Euclidean geometry, a line is a straight curve. When geometry is used to model the real world, lines are used to represent straight objects with negligible width and height.

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BISECTOR

In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector. The most often considered types of bisectors are the segment bisector (a line that passes through the midpoint of a given segment) and the angle bisector (a line that passes through the apex of an angle, that divides it into two equal angles).

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COMPLEMENTARY ANGLES

These two angles (40° and 50°) are Complementary Angles, because they add up to 90°. Notice that together they make a right angle.

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SEGMENT ADDITION POSTULATE

In geometry, the segment addition postulate states that if B is between A and C, then AB + BC = AC. The converse is also the same. If AB + BC = AC, then B is between A and C.

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ANGLE ADDITION

If the sum of the two angles measure up to 90°, then the angles are called to be ‘complementary angles’.

If the sum of the two angles measure up to 180°, then the angles are called to be ‘supplementary angles’.

The angles sharing a common side are called as ‘adjacent angles’.

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DISTANCE FORMULA

In analytic geometry, the distance between two points of the xy-plane can be found using the distance formula.

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MIDPOINT FORMULA

Demonstrates how to use the Midpoint Formula, and shows typical homework problems using the Midpoint Formula page 25

Irrational NUMBER

In mathematics, an irrational number is any real number which cannot be expressed as a fraction a/b, where a and b are integers, with b non-zero, and is therefore not a rational number. Informally, this means that an irrational number cannot be represented as a simple fraction. Irrational numbers are precisely those real numbers that cannot be represented as terminating or repeating decimals.

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