Page 317 - Math Smart - 7

14.2.3 Constructing regular polygons

Constructing quadrilaterals

Refer to pages 156-157 of Unit 6 to recall the properties of quadrilaterals to help
us construct polygons.

Example 9 Always draw a sketch of |
the geometric figure that |

Construct a parallelogram ABCD such that>4B = 7 cm, SC = 6 cm and you are constructing to |
AABC = 40^ help you. \
Solution

Draw a line AB-1 cm. A
7 cm
1

Using a protractor, draw /LA = 140" and ^B = 40°.

7 cm

Using a compass, draw two arcs 6 cm from points B and A.
^ Label the intersection points C and D. Draw the line CD to complete the

parallelogram.

7 cm

Add 2 sets of arrow heads in the drawing to show that line AB is parallel to
line DC, and line AD is parallel to line BC.