**7.2 Geometrical Constructions, PT3 Focus Practice**

**Question 1:**

Diagram below in the answer space shows part of triangle

*ABC*.(a) Using a pair of compasses, a protractor and a ruler, draw a triangle

*ABC*starting from the line given in the answer space with*AB*= 4.5 cm,*BC*= 6 cm and ∠*ABC*= 105^{o}.(b) Measure ∠

*BCA*.

AnswerAnswer

**:**

(a)

SolutionSolution

**:**

**(a)**

(b)

(b)

*∠BCA*= 31

^{o}

**Question 2:**

Diagram below shows a triangle

*ABC*drawn not to scale.Diagram in the answer space shows a straight line

*AB*.(a) Using only a ruler and a pair of compasses, construct

(i) triangle

*ABC*to the measurements shown in diagram above, (ii) the perpendicular line to the straight line

*AC*which passes through the point*B*.(b) Measure the perpendicular distance between straight line

*AC*and point*B*.

AnswerAnswer

**:**

(a)(i),(ii)

SolutionSolution

**:**

**(a)(i),(ii)**

**(b)**

5.3 cm

**Question 3:**

Diagram below shows a pentagon

*ABCDE*.Using only a ruler and a pair of compasses, construct the diagram, beginning from the straight lines

*CD*and*DE*provided in the answer space.

*Answer***:**

*Solution***:**