NCERT solution Class 9 constructions

NCERT Solutions

Class 9 Maths

Constructions

NCERT Questions

Ex.11.1 Q.1
Ex.11.1 Q.2
Ex.11.1 Q.3
Ex.11.1 Q.4
Ex.11.1 Q.5
Ex.11.1 Q.6
Ex.11.2 Q.2
Ex.11.2 Q.3
Ex.11.2 Q.4
Ex.11.2 Q.5

Ex.11.1 Q.4

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

1. 75⁰

2. 105⁰

3. 135⁰

1. 75⁰

The below given steps will be followed to construct an angle of 75⁰.

(1) Take the given ray PQ. Draw an arc of some radius taking point P as its centre, which intersects PQ at R.

(2) Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.

(3) Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T.

(4) Taking S and T as centre, draw an arc of same radius to intersect each other at U.

(5) Join PU. Let it intersect the arc at V. Taking S and V as centre, draw arcs with the angle

so formed can be measured with the help of a protractor. It comes to be 75⁰.

2. 105⁰

The below given steps will be followed to construct an angle of 105⁰.

(1) Take the given ray PQ. Draw an arc of some radius taking point P as its centre, which intersects PQ at R.

(2) Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.

(3) Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T.

(4) Taking S and T as centre, draw an arc of same radius to intersect each other at U.

(5) Join PU. Let it intersect the arc at V. Taking T and V as centre, draw arcs with radius more than .

Let these arcs intersect each other at W.

Join PW which is the required ray making 105⁰ with the given ray PQ.

The angle so formed can be measured with the help of a protractor. It comes to be 105⁰.

3. 135⁰

The below given steps will be followed to construct an angle of 135⁰.

(1) Take the given ray PQ. Extend PQ on the opposite side of Q. Draw a semi-circle of some

radius taking point P as its centre, which intersects PQ at R and W.

(2) Taking R as centre and with the same radius as before, draw an arc intersecting the

previously drawn arc at S.

(3) Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T.

(4) Taking S and T as centre, draw an arc of same radius to intersect each other at U.

(5) Join PU. Let it intersect the arc at V. Taking V and W as centre and with radius more than ,

draw arcs to intersect each other at X.

Join PX, which is the required ray making 135⁰ with the given line PQ.

The angle so formed can be measured with the help of a protractor. It comes to be 135⁰.

Video solution:

Constructions Class 9 Maths NCERT Chapter 11 NCERT Solutions

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NCERT solutions of Constructions Class 9 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 9 Maths Constructions NCERT solutions.