EXERCISE 4.3
Construct a parallelogram ABCD in which AB = 6 cm, BC = 4 cm and diagonal AC = 8.2 cm.
Construct a rhombus PORS with each side of length 4.5 cm and one diagonal of length 6 cm.
Answers
Answer:
First we draw a rough sketch of a quadrilateral ABCD and write down its dimensions as shown. We may divide it into two conveniently constructible Δs ABC and ACD.
Steps of construction:
1. Draw AC = 7 cm.
2. With A as centre and radius 4.5 cm, draw an arc (below AC).
3. With C as centre and radius 5.5 cm, draw another arc cutting the previous arc at
Given : a parallelogram ABCD AB=6cm , BC=4cm and diagonal AC=8.2 cm
To Find : Construct parallelogram
Solution:
AB = CD = 6cm
BC = AD = 4 cm
Step 1 : Draw a line segment AB = 6 cm
Step 2 : Using compass width = 8.2 cm and taking A as center draw an arc
Step 3 : Using compass width = 4 cm and taking B 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 cm and taking A as center draw an arc
Step 6 : Using compass width = 6 cm and taking C as center draw an arc such that it intersect arc drawn in previous step at D
Step 7 : Join AD and CD
parallelogram ABCD is constructed
Step 1 : Draw a line segment PQ = 4.5 cm
Step 2 : Using compass width = 6 cm and taking P as center draw an arc
Step 3 : Using compass width = 4.5 cm and taking Q as center draw an arc such that it intersect arc drawn in previous step at R
Step 4 : Join QR
Step 5 : Using compass width = 4.5 cm and taking P as center draw an arc
Step 6 : Using compass width = 4.5 cm and taking R as center draw an arc such that it intersect arc drawn in previous step at S
Step 7 : Join PS and RS
rhombus PQRS is constructed
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