Question

Construct a quadrilateral ABCD, where AB=4cm, BC=5cm, CD=6.5cm and angle B=105 degree and angle C=80 degree

Answer 1

Answer:

1. Draw side BC of length 5 cm.
2. Then, draw 105° from point B.
3. Next, draw 80° from point C.
4. Taking 4 cm as radius and C as center, draw an arc.
5. Mark the intersecting point as D.
6. Join AD
7. Label the sides and angles

∴ ABCD  is the required quadrilateral.

Answer 2

Construction of a quadrilateral ABCD, with the given data  AB = 4 cm, BC = 5 cm, CD = 6.5 cm and ∠ B = 105 ˚and ∠ C = 80 ˚ 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 = 4 cm, BC = 5cm, CD = 6.5 cm and ∠ B = 105 ˚ and ∠C = 80 ˚

To Draw: Construction of a quadrilateral ABCD

Steps of construction:

1. First of all, draw a line segment BC = 5 cm.

2. At B, draw a line segment XB making an angle of 105˚.

3. Draw an arc of radius 4 cm from point B and name it A.

4. At C, draw a line segment YC making an angle of 80˚ with the help of a protractor.

5. Draw an arc of radius 6.5 cm from point C and name it D.

6. Join AD.

Hence, ABCD is the required quadrilateral.

Learn more on Brainly :

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

https://brainly.in/question/1445474

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°?

https://brainly.in/question/1445466

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