TRADE OF PLASTERING - eCollege

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Module 1 – Unit 4 Rendering Walls The following are all examples of quadrilaterals. Parallelogram In a parallelogram the sides that are opposite each other are of equal length and are parallel to each other (Figure 5). The angles that are opposite to each other are also equal. Providing one of he angles is known, the other three can be found. The diagonals AD and BC bisect each other and the parallelogram to form two congruent triangles. The area of a parallelogram can be found by multiplying the base by the perpendicular height (this means at right angles to the base). Example: Figure 5 Find the area and the angles x, y, and z for the parallelogram in Figure 6. Figure 6 Area: If the base CD = 6m and the line EF = 3m Area = CD x EF = 6m x 3m = 18m² Angles: As the angle ACD equals 60°, then the angle opposite y must also equal 60°. The sum of the four angles is equal to 360° and angles x and z are opposite and equal. Plastering Phase 2 17 Revision 1.0 July 2008
Module 1 – Unit 4 Rendering Walls Therefore x + z = 360° - (60° + 60°) = 240° And as they are equal 240° ÷ 2 = 120° x = 120° z = 120° Rectangle In a rectangle all the angles are right angles, as shown in Figure 7. The two sides opposite each other are parallel and equal in length. The two diagonals AD and CB are equal in length and bisect each other. The diagonals bisect the rectangle to form two congruent triangles. Square Figure 7 A square (Figure 8), is a rectangle with all its sides equal in length. The two diagonals AD and CB are equal in length and bisect each other. The diagonals intersect at 90° and bisect the square to form congruent triangles. The area of a square = L², where L is the length of one side of the square. Figure 8 Plastering Phase 2 18 Revision 1.0 July 2008
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