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Appendix A

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Name Diagram Properties<br />

Scalene<br />

triangle<br />

• No sides are equal.<br />

• All angles are different.<br />

Acute-angled<br />

triangle<br />

• All angles are acute (less than 90°).<br />

Right-angled<br />

triangle<br />

• One angle is a right angle (90°).<br />

Obtuse-angled<br />

triangle<br />

• One angle is an obtuse angle<br />

(greater than 90°).<br />

• The longest side is opposite the<br />

largest angle.<br />

A:07E Constructing Quadrilaterals<br />

Often you can construct a quadrilateral in several different ways.<br />

worked examples<br />

To construct this quadrilateral, use the following steps.<br />

Step 1 Draw a 60° angle with your protractor.<br />

Step 2 Mark off the sides AB (5 cm) and AD (3·2 cm).<br />

Step 3 Draw an 80° angle with its vertex at B.<br />

Step 4 Mark off the side BC (3·8 cm).<br />

Step 5 Join CD.<br />

A<br />

3·2 cm<br />

60°<br />

D<br />

5 cm<br />

C<br />

80°<br />

3·8 cm<br />

B<br />

1 2 3 4 5<br />

C<br />

D D D<br />

60° 60°<br />

80°<br />

A A 5 cm B A<br />

B A<br />

B A<br />

3·2 cm<br />

3·8 cm<br />

D<br />

C<br />

B<br />

26 NEW SIGNPOST MATHEMATICS 8

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