(a) Using ruler and a pair of compasses only, construct : (i) a trapezium WXYZ such that |WX| = 10.2 cm, |XY| = 5.6 cm, |YZ| = 5.8 cm, < WXY = 60° and WX is...
Question 1 Report
(a) Using ruler and a pair of compasses only, construct : (i) a trapezium WXYZ such that |WX| = 10.2 cm, |XY| = 5.6 cm, |YZ| = 5.8 cm, < WXY = 60° and WX is parallel to YZ (ii) a perpendicular from Z to meet \(\overline{WX}\) at N.
(b) Measure : (i) |WZ| ; (ii) |ZN| .
Answer Details
(a) Construction
- Draw the line segment \(WX=10.2\text{ cm}\).
- At \(X\), construct \(\angle WXY=60^\circ\). On this ray, mark \(Y\) such that \(XY=5.6\text{ cm}\).
- Through \(Y\), construct a line parallel to \(WX\). On this parallel line, towards \(W\), mark \(Z\) such that \(YZ=5.8\text{ cm}\).
- Join \(Z\) to \(W\). From \(Z\), construct a perpendicular to \(WX\), meeting \(WX\) at \(N\).
(b) Measurements from the construction
\[ |WZ|=5.25\text{ cm} \]
\[ |ZN|=4.86\text{ cm} \]
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