Construct a Quadrilateral ABCD, AB = 3.5cm, BC=2.5cm, CD= 4 cm, B= 60º, C = 2 B.
Answers
Construction of a quadrilateral ABCD, with the given data AB = 3.5 cm, BC = 2.5 cm, CD = 4 cm and ∠ B = 60 ˚and ∠ C = 2∠ B = 2 × 60˚ = 120˚ is in the attachment below.
Criteria for constructing a unique quadrilateral :
- 4 sides and 1 diagonal
- 3 sides and 2 diagonals
- 2 adjacent sides and 3 angles
- 3 sides and 2 included angles
- 4 sides and any 1 angle
Given :
AB = 3.5 cm, BC = 2.5 cm, CD = 4 cm , ∠ B = 60 ˚and ∠ C = 2∠ B = 2 × 60˚ = 120˚
To Draw:
Construction of a quadrilateral ABCD
Steps of construction:
1. First of all, draw a line segment BC = 2.5 cm.
2. At B, draw a line segment XB making an angle of 60˚ with the help of a compass.
3. Draw an arc of radius 3.5 cm from point B and name it A.
4. At C, draw a line segment YC making an angle of 120˚ with the help of a compass.
5. Draw an arc of radius 4 cm from point C and name it D.
6. Join AD.
Hence, ABCD is the required quadrilateral with the given data.
Learn more on Brainly :
Construct a quadrilateral ABCD, where AB=4cm, BC=5cm, CD=6.5cm and angle B=105 degree and angle C=80 degree
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Question 1 Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm (ii) Quadrilateral JUMP JU = 3.5
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Question 3 Can a quadrilateral ABCD be a parallelogram if (i)∠D +∠B = 180°? (ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm? (iii)∠A = 70° and∠C = 65°?
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