CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Construct the following quadrilaterals
(i) Quadrilateral $$MORE$$
$$MO = 6\ cm$$
$$OR = 4.5\ cm$$
$$\angle M = 60^{\circ}$$
$$\angle O = 105^{\circ}$$
$$\angle R = 105^{\circ}$$
(ii) Quadrilateral $$PLAN$$
$$PL = 4\ cm$$
$$LA = 6.5\ cm$$
$$\angle P = 90^{\circ}$$
$$\angle A = 110^{\circ}$$
$$\angle N = 85^{\circ}$$
(iii) Parallelogram $$HEAR$$
$$HE = 5\ cm$$
$$EA = 6\ cm$$
$$\angle R = 85^{\circ}$$
(iv) Rectangle $$OKAY$$
$$OK = 7\ cm$$
$$KA = 5\ cm$$


Solution

1)
1. Draw $$MO$$ of length $$6$$ cm.
2. Draw an angle of $$105$$ degree on $$O$$ and cut an arc of $$4.5$$ cm on it. The point of intersection is $$R$$.
3. Draw an angle of $$105$$ degree on $$R$$ and draw an angle of $$60$$ degree on $$M$$. Their point of intersection is $$E$$.
4. Join all the points.
$$MORE$$ is the required quadrilateral.

2)
1. Draw $$PL$$ of length $$4$$ cm.
2. Calculate the value of $$\angle L$$, which comes out to be $$75^{o}$$.
Draw an angle of $$75^{o}$$ on $$L$$ and cut an arc of $$6.5$$ cm on it. The point of intersection is $$A$$.
3. Draw an angle of $$110^{o}$$ on $$A$$ and draw an angle of $$90^{o}$$ on $$P$$. Their point of intersection is $$N$$.
4. Join all the points.
$$PLAN$$ is the required quadrilateral.

3) 
1. Draw $$EA$$ of length $$6$$ cm.
2. Draw an angle of $$85^{o}$$ on $$E$$ and cut an arc of $$5$$ cm on it. The point of intersection is $$H$$. ($$\angle R= \angle  E = 85^o$$ and $$\angle H = 95^o$$)
3. Draw an angle of $$95^{o}$$ on $$H$$ and cut an arc of $$6$$ cm. Their point of intersection is $$R$$.
4. Join all the points.
$$HEAR$$ is the required parallelogram.

4)
1. Draw $$OK$$ of length $$7$$ cm.
2. Draw an angle of $$90^{o}$$ on $$K$$ and cut an arc of $$5$$ cm on it. The point of intersection is $$A$$.
3. Draw an angle of $$90^{o}$$ on $$A$$ and cut an arc of $$7$$ cm from $$A$$. The point of intersection is $$Y$$.
4. Join all the points.
$$OKAY$$ is the required rectangle.



595317_463395_ans_90044bb4abf245aa9d6e5ae1676411b6.png

Mathematics
NCERT
Standard VIII

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More


similar_icon
People also searched for
View More



footer-image