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Shape and Space

Learn about the strength of triangles in construction and practice drawing and bisecting angles with this informative guide. Ideal for geometry enthusiasts of all levels.

edwinwalker
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Shape and Space

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  1. Shape and Space CONSTRUCTION

  2. STRONG TRIANGLES • Triangles are very important. • Shapes that are made from • triangles are usually very strong. • Many structures like bridges, • pylons and towers are built • using triangles.

  3. DRAWING A TRIANGLE • Draw triangle ABC • AB = 7cm, • Angle A = 36° • Angle B = 58° C 58° 36° A 7cm B What size is angle C? 36 + 58 = 94° Angle C = 180 – 94 = 86° Or you could measure angle C using the protractor

  4. EXERCISES • 1. Draw Triangle LMN • LM = 8cm, • Angle L = 47° • Angle M = 32° • b) What is angle N? • 2. Draw Triangle PQR • PQ = 6cm, • Angle P = 28° • Angle Q = 78° • b) What is angle R? • 3. Draw Triangle XYZ • XY = 6.5cm • Angle X = 56° • Angle Y = 43° • b) Beth yw ongl Z?

  5. BISECT AN ANGLE • It’s possible to bisect an angle (in half) using a compass. Step 1 : Open the compass to any distance. You must keep the compass at this distance.

  6. BISECT AN ANGLE • It’s possible to bisect an angle (in half) using a compass. Step 2 : Put the compass on the corner of the angle and draw a small arc which cross both arms of the angle. Label these points A and B. A B

  7. BISECT AN ANGLE • It’s possible to bisect an angle (in half) using a compass. Step 3 : Put the compass on point A and repeat step 2. Then do the same with point B. A B

  8. BISECT AN ANGLE • It’s possible to use the same • method to draw a perfect • circle within a triangle. • Notice that the circle • touches the three • sides of the • triangle. REMEMBER TO KEEP THE COMPASS AT THE SAME DISTANCE

  9. BISECT AN ANGLE REMEMBER TO KEEP THE COMPASS AT THE SAME DISTANCE

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