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Pre TestWrite the heading!

From p54 in your text, do the Pre Test

– 10 min.

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Fill in the worksheet page,

Angle Relationships

Paste the sheet into your grid

book!

Write the sub heading!

Q1-12 (every 2nd part), Q13-15 (all

parts)

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Fill in the worksheet

page, Classification of Angles

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Q1-10 (ev 2nd part), Q12.

Write the heading!What do you notice about the following sets of angles? You may need a protractor to check!

Theory:(1) ADJACENT ANGLES are angle which are “next to each other”

Theory (continued):(2) If adjacent angles make a right angle, then they are COMPLEMENTARY (add to 90)

(3) If adjacent angles make a straight angle, then they are SUPPLEMENTARY (add to 180)

(4) Angles in a revolution sum to 360o.

(5) When two straight lines cross, two pairs of vertically opposite angles are formed. Vertically opposite angles are equal.

(6) Perpendicular lines meet at right angle (90o). We write ABCD.

Example 1

Your turn: Exercise 2C Q1-4 (all parts),

Q5-10 (every 2nd part)Q11-12 (all parts)

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Use a protractor!

Theory:• A transversal is a line, intersecting two other

lines.Corresponding Angles (F-shaped)When parallel lines are cut by a line, the angles in corresponding positions are EQUAL.

Alternate Angles (Z-shaped)When parallel lines are cut by a line, the angles in alternate positions are EQUAL.

Co-interior Angles (C-shaped)When parallel lines are cut by a transversal, the angles in the co-interior positions are SUPPLEMENTARY (add up to 180)

Example 1

Example 2

Example 3

Your turn: Exercise 2D

Q3-6 (all parts), Q7-11 (every 2nd part)

Q12-14 (all parts)

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Example 1

There is often more than one way to solve these questions.

Can you think of another way?

Your turn: Exercise 2E

Q1-2 (all parts)Q3-4 (ev 2nd part)

Extension only Q5,7.Extension for Extension

Q9

Parts of a Circle - Theory:Instructions…Draw a circle of radius 3 cm. (if you have a pair of compasses); or trace something round!Draw all the features of a circle listed above

Write the heading! Circle and Angle Constructions

Click on the link to mathsonline.com.au

http://www.mathsonline.com.au/students

Enter the login GP2013 and the password…Watch and discuss the tutorials on:1. Bisecting a Line2. Bisecting an Angle3. Constructing Angles 14. Constructing Angles 25. Perpendicular Lines

Teacher Note: The worksheets (if needed are located at:

..\..\..\..\..\~Faculties\Maths\Departmental Files\Maths Online\Year 7 & 8\Measurement and Space\Constructions Further Extension Work: The

Perfect Billiard Ball path – Investigation p90-91 in text

book.

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