7.2.3 Geometrical Constructions, PT3 Focus Practice

Question 6:
Diagram below in the answer space shows part of a triangle ABC.
$\begin{array}{l}\text{(a) Using a pair of compasses, protractor and ruler, draw the }\\ \text{ triangle }ABC\text{ with }AB=7\text{ cm, }\angle ABC={65}^o\text{ and }BC=5\text{ cm}\text{.}\\ \text{(b) Measure }\angle ACB.\end{array}$

Answer:
(a)



Solution:
(a)


(b)
$\angle ACB={72}^o$

Question 7:
Diagram below shows a quadrilateral ABQR.


(a) Using only a ruler and a pair of compasses, construct the diagram using the measurement given.
Begin from the straight lines AB and BQ provided in the answer space.
(b) Based on the diagram constructed in (a), measure the length, in cm, of QR.

Answer:
(a)



Solution:
(a)


(b)
QR = 5.9 cm