Q10 of 58 Page 17

Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.


Steps of construction:


(i) Draw a line segment AB of length 6 cm.


(ii) From point ‘A’ draw an arc of length 5 cm and from point B draw an arc of length 6 cm. Such that both the arcs intersect at ‘C’.


(iii) Join AC and BC.


(iv) From point A draw an arc of length 6 cm and from point C draw an arc of 6cm, so that both the arcs intersect at point D.


(v) Joint AD and DC to get rhombus ABCD.


More from this chapter

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8

Draw a rhombus, having each side of lengfth 3.5 cm and one of the angles as 40°.

 9

One side of a rhombus is of length 4 cm and the length of an altitude is 3.2 cm. Draw the rhombus.

 11

ABCD is a rhombus and its diagonals intersect at O.

(i) Is ΔBOC≅ΔDOC? State the condruence condition used?


(ii) Also state, if ∠BCO =∠DCO.

 12

Show that each diagonal of a rhombus bisects the angle through which it passes.