[4 marks sum]

Question 14 Marks

Using ruler and compasses construct
(i) a triangle ABC in which AB = 5.5 cm, BC = 3.4 cm and CA = 4.9 cm.
(ii) the locus of points equidistant from A and C.
(iii) a circle touching AB at A and passing through C.

Answer

Self

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Question 24 Marks

Construct triangle ABC in which $\mathrm{AB}=6 \mathrm{~cm}, \mathrm{BC}=7 \mathrm{~cm}$ and $\angle \mathrm{ABC}=60^{\circ}$. Locate by construction the point P such that
(i) P is equidistant from $\mathrm{B}, \mathrm{C}$.
(ii) P is equidistant from BC and AC
(iii) Measure and record the length of PB.

Answer

Self

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Question 34 Marks

Construct an isosceles triangle ABC such that $\mathrm{AB}=6 \mathrm{~cm}, \mathrm{BC}=\mathrm{AC}=4 \mathrm{~cm}$. Bisect $\angle \mathrm{C}$ internally and mark a point P on this bisector such that $C P=5 \mathrm{~cm}$. Find the points which are 5 cm from $P$ and also 5 cm from the line $A B$.

Answer

Self

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Question 44 Marks

Construct a right angled triangle PQR such that $\mathrm{PQ}=6 \mathrm{~cm}, \mathrm{QR}=3.5 \mathrm{~cm}$ and $\angle \mathrm{PQR}=90^{\circ}$. Bisect $\angle \mathrm{P}$ internally and mark a point $Z$ on this bisector such that $P Z=4 \mathrm{~cm}$. Find the points which are 4 cm from $Z$ and also 4 cm from the line QR .

Answer

Self

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Question 54 Marks

Draw a line segment AB = 8 cm. Mark C, the mid-point of AB. Draw and describe the locus of a point which is
(a) 2 cm from AB (b) 4 cm from C. Mark the points E, F, G, H which satisfy both the above conditions.
(i) Describe the figure EFGH.
(ii) What kind of triangle is ECF?

Answer

Self

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Mathematics [4 marks sum]

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