Question

Construct a quadrilateral ACER in which AC=7 cm, CE = 9 cm, AR CR= 6 cm and AE = 12 cm. Write the steps of construction.​

Answer 1

Answer:

1. Draw a line segment BC =6 cm .

2. Open compass of length 7 cm and mark curve from point C.

3. Open compass of length 11 cm and mark curve from point B.

4. These curve cut each other at point D.

5. Join B to D and C to D

6. Open compass of length 9 cm and mark curve from point C.

7. Open compass of length 9 cm and mark curve from point B.

8. These curve cut each other at point A

9. Join A to B and A to D

Hence ABCD is the required quadrilateral.

Answer 2

Given :  a quadrilateral ACER in which AC=7 cm, CE = 9 cm, AR = CR= 6 cm and AE = 12 cm.

To Find : Construct  quadrilateral ACER

Solution:

Step 1 : Draw a line segment AC = 7 cm

Step 2 : Using compass width = 9 cm and taking  C as center draw an arc

Step 3 : Using compass width = 12  cm and taking  A as center draw an arc such that it intersects arc drawn in previous step at E

Step 4 : Join CE

Step 5 : Using compass width = 6 cm and taking  C as center draw an arc

Step 6 : Using compass width = 6  cm and taking  A as center draw an arc such that it intersects arc drawn in previous step at R

Step 7 : join ER and AR

Quadrilateral ACER  is constructed

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