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SAI INTERNATIONAL SCHOOL

Class VII
Sub: Mathematics
Ch- 10: Practical Geometry
Worksheet-1

1. Fill in the blanks:
(i)A triangle can be drawn if the _____ and a leg in the case of a right-angled
triangle.
(ii) We can draw ____________ lines parallel to a given line.
(iii) Construction of a triangle is not possible if three ________________ of a
triangle are given.
(iv)A triangle can be drawn if _____ sides and one angle given.
(v) A triangle can be drawn only when the sum of any two sides of the
triangle is _______________ than third side.

2. Draw a line, say AB, take a point C outside it. Through C, draw a line
parallel to AB using ruler and compasses only.

3. Construct an equilateral triangle of side 5.5 cm.

4. Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m∠C = 60°.

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5. Construct ΔPQR if PQ = 5 cm, m∠PQR = 105 and m∠QRP = 40 .
(Hint: Recall angle-sum property of a triangle).

6. Construct an isosceles right-angled triangle ABC, where m∠ACB = 90° and

AC = 6 cm.
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7. Draw △ABC in which ∠A=70 . AB = 4 cm and AC= 6 cm. Measure BC.

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8. Draw △ABC in which ∠A = 120 , AB = AC = 3 cm. Measure ∠B and ∠C.
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9. Draw △ABC in which ∠C = 90 and AC = BC = 4 cm.
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10. Draw ∆ABC in which AC = 6 cm, ∠A = 90 and ∠B = 60