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Draw a rough sketch of a quadrilateral KLMN. State:

Draw a rough sketch of a quadrilateral KLMN. State: Basic Geometrical Concepts, ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.

(i) two pairs of opposite sides

(ii) two pairs of opposite angles

(iii) two pairs of adjacent sides

(iv) two pairs of adjacent angles

Geometrical Concepts

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Answer

A rough sketch of quadrilateral KLMN is drawn below.

If the radius of a circle is r units, then express the length of a diameter of the circle in terms of r. Basic Geometrical Concepts, ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.

(i) Opposite sides are the sides which do not have any common vertex.

∴ The two pairs of opposite sides are (KL,MN) and (LM,NK)(\overline{KL}, \overline{MN}) \text{ and } (\overline{LM}, \overline{NK}).

(ii) Opposite angles are the angles which do not have any common side.

∴ The two pairs of opposite angles are (∠K, ∠M) and (∠L, ∠N).

(iii) Adjacent sides are the sides which have a common vertex.

∴ The two pairs of adjacent sides are (KL,LM) and (LM,MN)(\overline{KL}, \overline{LM}) \text{ and } (\overline{LM}, \overline{MN}).

(iv) Adjacent angles are the angles which have a common side.

∴ The two pairs of adjacent angles are (∠K, ∠L) and (∠L, ∠M).

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