# NCERT Class 9 Solutions: Constructions (Chapter 11) Exercise 11.1 – Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Constructions of angle

Q-4 Construct the following angles and verify by measuring them by a protractor:

1.

2.

3.

Solution:

i) Step of Construction:

• Draw a OA ray
• Construct
• Construct
• Bisect so that
• So, that
• Verification:
• , with the protractor, we find

ii) Step of Construction:

• Draw a line segment XA.
• Construct and
• ()
• Bisect angle SAZ it bisector AR
• So that,
• Then in the angle of

iii) Step of Construction:

• Draw
• Then
• Draw the bisector of
• Construct,
• So that,
• Then

Q-5 Construct an equilateral triangle, given its side and justify the construction.

Solution:

• Take a ray CD with initial point C
• C as centre and radius ()
• Draw an arc of a circle, which intersects CD
• Taking B as centre and with the same radius as before
• Draw an arc intersecting the previously drawn arc, say at a point C
• Join CA and BA

Then is the required triangle with side

Justification:

(Sum of the angles of a triangle)

(Sides opposite to equal angles are equal)

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