Question types

Construction of Polygons (Using ruler and compass only) question types

49 questions across 3 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.

49
Questions
3
Question groups
5
Question types
Sample Questions

Construction of Polygons (Using ruler and compass only) questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[3 marks sum]3 Marks
Construct a parallelogram $\text{ABCD}$, when:Diagonal $AC = 6.4 \ cm,$ diagonals $BD = 8.2 \ cm$ and angle between the diagonals$ = 60^\circ .$
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Q 5[3 marks sum]3 Marks
Construct a quadrilateral $\text{ABCD},$ when:$BC = 7.5 \ cm AC = 5.8 \ cm, AD = 3.6 \ cm, CD = 4.2 \ cm$ and $\angle A = 120^\circ .$
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Q 6[4 marks sum]4 Marks
Using ruler and compasses only, construct the quadrilateral $\text{ABCD}$, having given $AB = 5 \ cm, BC = 2.5 \ cm CD = 6 \ cm, \angle BAD = 90^o$ and diagonal $BD = 5.5 \ cm.$
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Q 7[4 marks sum]4 Marks
Using ruler and compasses only, construct the quadrilateral $\text{ABCD}$, having given $A B=5 \ cm, B C=2.5 \ cm, C D$
$=6 \ cm$. $\angle B A D=90^{\circ}$ and the diagonal $A C=5.5 \ cm$.
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Q 11[5 marks sum]5 Marks
Draw parallelogram $\text{ABCD}$ with the following data:$A B=6 \ cm , A D=5 \ cm$ and $\angle D A B=45^{\circ}$.Let $A C$ and $D B$ meet in $O$ and let $E$ be the mid$-$point of $B C$. Join $O E$.Prove that:(i) $OE \| AB;(ii)OE =\frac{1}{2} AB$.
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Q 12[5 marks sum]5 Marks
The perpendicular distance between the pair of opposite sides of a parallelogram are $3 \ cm$ and $4 \ cm$, and one of its angles measures $60^o$. Using a ruler and compasses only,construct the parallelogram.
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Q 13[5 marks sum]5 Marks
Using ruler and compasses only, construct a parallelogram $\text{ABCD}$ using the following data$: AB = 6 \ cm, AD = 3 \ cm$ and $\angle DAB = 45^o$. If the bisector of $\angle DAB$ meets $DC$ at $P$,prove that $\angle APB$ is a right angle.
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