Mathematics Form 3

MATHEMATICS FORM 3 - Amal Sufiah Akmal Shukri - Tunku Tunku Kurshiah Kurshia h College Coll ege - Form 2N (2014)

CONTENTS ... •

Chapter 1 - Lines and Angles II

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Chapter 2 - Pol Polygons ygons II

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Chapter 3 - Circles II

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Chapter 4 - Statistics II

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Chapter 5 - Indices

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Chapter 6 - Algebraic Expressions III

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Chapter 7 - Algebraic Formulae

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Chapter 8 - Solid Geometry III

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Chapter 9 - Scale Drawings

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Chapter 10 - Transformations Transformations II

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Chapter 11 - Linear Equations II

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Chapter 12 - Linear Inequalities

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Chapter 13 - Graphs of Functions

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Chapter 14 - Ratios, Rates and Proportions II

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Chapter 15 - Trigonometry Trigonometry

CHAPTER 1 LINES AND ANGLES II

1.1 ANGLES ASSOC IA IATED TED WITH PARALLEL LINES

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Angles are the space within two lines or three or more planes diverging from a common point, or within two planes diverging from a common line.

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Parallel lines are lines on the same plane that never meet, no matter how far they are extended.

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In this topic, we will learn about transversal and the angles formed can be classified as corresponding angles, alternate angles or interior angles

Transversal •

A transversal is a straight line that intersects two or more straight lines.

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The figure on the right shows two parallel lines AC and DF intersected by the transversal MN.

Corresponding Corr esponding Angles Angle s •

Corresponding angles are Corresponding equal in size.

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The figures on the right are the examples of corresponding angles.

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To identify corresponding angles, look for angles formed by lines that resemble the letter 'F'.

 Alternate Angles •

Alternate angles are equal in size.

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The figures on the right shows the examples of alternate angles.

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To identify alternate angles, look for angles formed by lines that resemble the letter 'Z'.

Interior Angles •

Interior angles are angles between parallel lines on the same side of transversal.

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The sum of two interior angles is 180 degrees.

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The figures on the right are the examples of interior angles.

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To identify interior angles, look for angles formed by lines that resemble the letter 'C'.

EXAMPLE 1

CORRESPONDING ANGLES

Find the value of x in the diagram above.  Solution: 2x = 130 degrees Hence,

In the following diagram, BCD and ACE are straight lines. Find Find the value of x.

EXAMPLE 2

ALTERN AL TERN ATE A NGLE S

 Solution: