Question

Q1.Construct a quadrilateral ABCD in which AB = 4.5 cm, BC = 5.2 cm, CD = 4.8 cm, AD = 5 cm and diagonal AC = 6.5 cm.

Q2. Construct a quadrilateral ABCD in which AB = 5.3 cm, AD = 4.7cm, CD = 5.4 cm diagonal AC = 5.9 cm and diagonal BD = 6.5 cm.

Q3. Construct a square each of whose diagonals is 6.8 cm.

Q4. Construct a quadrilateral ABCD in which AB = 5 cm, BC = 4.6cm, CD = 3.1cm, 2 B = 75" and 2C = 120'. Q5. Construct a quadrilateral PQRS in which PQ = 4.5 cm, QR =

3.9 cm , RS = 4.6 cm, SP = 3 cm and zQ = 75".

Q6. Construct a Parallelogram one of whose sides is 5cm and whose diagonals are 6.2 cm and 7cm.

Q7. Construct a Parallelogram ABCD in which AC = 7 cm, BD = 5.8 cm, and the angle between the diagonal is 75".

Q8. Construct a Rectangle ABCD given that side AB = 5 cm and the diagonal AC = 6.5 cm.​

Answer 1

Given :  a quadrilateral ABCD in which AB = 4.5 cm, BC = 5.2 cm, CD = 4.8 cm, AD = 5 cm and diagonal AC = 6.5 cm.

To Find  : Construct a quadrilateral ABCD

Solution:

Step 1 : Draw  a line segment AB = 4.5 cm

Step 2 : Using compass width = 5.2 cm and taking B as center draw an arc

Step 3 : Using compass width = 6.5 cm and taking A as center draw an arc such that it intersect arc drawn in previous step at C

Step 4 : Join BC

Step 5 : Using compass width = 4.8 cm and taking C as center draw an arc

Step 6 : Using compass width =  5 cm and taking A as center draw an arc such that it intersect arc drawn in previous step at D

Step 7 : Join CD & AD

Quadrilateral ABCD is constructed

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