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Constructions

Long Answer Type

1. Construct an angle of 90° at the initial point of a given ray and justify the construction.

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2. Construct an angle of 45° at the initial point of a given ray and justify the construction.

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3. Construct the angles of the following measurements:

30 degree

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4. Construct the angles of the following measurements:

22 1 half degree

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5. Construct the angles of the following measurements:

15°

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Construct the following angles and verify by measuring them by a protractor:

75°

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Construct the following angles and verify by measuring them by a protractor:

105°

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Construct the following angles and verify by measuring them by a protractor:

135°

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Short Answer Type

Construct an equilateral triangle, given its side and justify the construction.

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10. Construct an equilateral triangle with one side 6 cm.

Steps of Construction
1. Draw BC = 6 cm.
2. With B as centre and 6 cm as radius, draw an arc on one side of BC.
3. With C as ccntre and 6 cm as radius, draw another arc on the same side of BC to intersect the former arc at A.
4. Joint AB and AC.
Then, ∆ABC is the required equilateral triangle.

Steps of Construction1. Draw BC = 6 cm.2. With B as centre and 6 cm

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