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Question

Sort steps to construct quadrilateral ABCD with AB, BC, CD, AD, AC as 4 cm, 6 cm, 5.5 cm, 5 cm, 8 cm.

A
With A as centre, draw an arc of radius 5 cm to the opposite side of AC.
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B
With C as centre, draw an arc of radius 6 cm and mark the point of intersection with the arc drawn in step 2 as B. Join AB and CB.
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C
With A as centre, draw an arc of radius 4 cm.
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D
Draw a line segment AC of 8 cm.
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E
With C as centre, draw an arc of radius 5.5 cm and mark the point of intersection with the arc drawn in step 4 as D. Join AD and CD.
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Solution

The given quadrilateral ABCD can be drawn as follows:

Step 1: Draw a line segment AC of 8 cm.

Step 2: With A as centre, draw an arc of radius 4 cm.

Step 3: With C as centre, draw an arc of radius 6 cm and mark the point of intersection with the arc drawn in step 2 as B. Join AB and CB.

Step 4: With A as centre, draw an arc of radius 5 cm to the opposite side of AC.

Step 5: With C as centre, draw an arc of radius 5.5 cm and mark the intersection point with the arc drawn in step 4 as D. Join AD and CD.


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