Exercise- 4.1
1. Construct the following quadrilaterals :
i) Quadrilateral ABCD where, AB=4 cm, BC=6 cm, CD=5 cm, DA=5.5 cm, and
diagonal AC = 7 cm.
ii) Quadrilateral ABCD where, AB = 4 cm, BC = 3 cm, DA= 2.8 cm diagonal AC =
5 cm diagonal BD = 4.5cm.
iii) Quadrilateral PQRS where, QR=4.5 cm, PS = 5.5 cm, RS= 5 cm, diagonal PR =
5.5cm, diagonal QS = 7 cm.
iv) Parallelogram EFGH where, FG = 7 cm, GH= 5.5 cm, and HF = 8.5 cm.
v) Rhombus DEFG where, DE = 5 cm and EG=6.5 cm.
vi) Rhombus LMNO where, LN=6cm, MO= 7cm
Answers
Ex 4.1, 1 (i) Construct the following quadrilaterals. Quadrilateral ABCD. AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm First we draw a rough sketch Let’s construct it Steps of construction 1. Draw diagonal AC of length 7 cm 2. Taking 4.5 cm as radius, and A as center, draw an arc on top of AC 3. Taking 5.5 cm as radius, and C as center, draw an arc on top of AC 4. Taking 6 cm as radius, and A as center, draw an arc on bottom of AC 5. Taking 5 cm as radius, and C as center, draw an arc on bottom of AC 6. Let B be the point where arcs intersect on top of AC, and D be the point where arcs intersect below AC Join AB, BC, AD, CD Label the sides ∴ ABCD is the required quadrilateral
Ex. 4.1. No. (iii) Avove 5 images
I have only solved no. 1 and 3
I hope this may help you
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