Home MATHEMATICS TOPIC 6: GEOMETRY | MATHEMATICS FORM 1

TOPIC 6: GEOMETRY | MATHEMATICS FORM 1

3462
150
SHARE
BASIC MATHEMATICS FORM ONE FULL NOTES PERIMETERS AND AREAS COORDINATE OF A POINT PROFIT AND LOSS NUMBERS GEOMETRY Approximations UNITS DECIMAL AND PERCENTAGEFRACTIONS TOPIC 1: NUMBERS ~ MATHEMATICS FORM 1

TOPIC 6: GEOMETRY

Points and Lines

The Concept of a Point

Explain the concept of a point

A​​ point​​ – is a smallest geometric figure which gives a position of object in a plane

A line segment – is a straight line joining two points in a plane

The Concept of a Point to Draw a Line

Extend the concept of a point to draw a line

A line segment – is a straight line joining two points in a plane

Https://Sdimg.blob.core.windows.net/Images/Shuledirect/22472/Original/Line_1455622622614.Png

A line passing through two points e.g A and B and extends without end​​ (i.e infinitely)​​ in both directions is denoted by

Https://Sdimg.blob.core.windows.net/Images/Shuledirect/22472/Original/Line_1455623009316.Png

The Difference Between a Line, a Line Segment and a Ray

Distinguish between a line, a line segment and a ray

A ray – is a line starting from a point, say A and pass through a point, say B and extends without end in one direction.It is denoted by

Https://Sdimg.blob.core.windows.net/Images/Shuledirect/22472/Original/Line_1455623243959.Png

Angles and Lines

Angles

Draw angles

An angle – is a measure of an amount of turn. For instance, a complete turn has an angle of 360º

Https://Sdimg.blob.core.windows.net/Images/Shuledirect/22472/Original/Angle_1455623551435.Png

Measuring Angles of Different Size Using a Protractor

Measure angles of different size using a protractor

There are several types of angles including:- acute, right, complementary, obtuse, supplementary and reflex angle

Https://Sdimg.blob.core.windows.net/Images/Shuledirect/22472/Original/Angle_1455624515959.Png

Https://Sdimg.blob.core.windows.net/Images/Shuledirect/22472/Original/Angle_1455625103819.Png

Https://Sdimg.blob.core.windows.net/Images/Shuledirect/22472/Original/Angle_1455625260707.Png

Example 1

Two angles are supplementary. One angle is three times the other. What are the angles?

Two angles are complementary. One angle is 40º greater than the other. What are the angles?

Solution

Https://Sdimg.blob.core.windows.net/Images/Shuledirect/22472/Original/Solution_1455625578489.Png

Drawing Angles Using a Protractor

Draw angles using a protractor

The angles formed by crossing lines includes vertically opposite angles, alternate angle and corresponding angles

See also  TOPIC 5: APPROXIMATIONS | MATHEMATICS FORM 1

Vertically opposite angles

The angles on the opposite sides of the crossing lines are equal