Selina solutions

# Question 1

Q1)

In your note-book copy the following angles using ruler and a pair compass only.

Solution:

(i) Steps of construction

1. At point Q, draw line QR = OB
2. With O as centre, draw an arc of any suitable radius, to cut the arms of the angle at C and D
3. With Q as centre, draw the arc of the same size as drawn for C and D. Let this arc cuts line QR at point T.
4. In your compasses, take the distance equal to distance between C and D and then with T as centre, draw an arc which cuts the earlier arc at S.
5. Join QS and produce up to a suitable point P. ∠PQR so obtained is the angle equal to the given ∠AOB

(ii) Steps of construction:

1. At t point E, drawn line EF.
2. With E as centre, draw an arc of any suitable radius, to cut the arms of the angle at C and D.
3. With Q as centre, draw the arc of the same size as drawn for C and D. LEt this arc cuts line QR at point T.
4. In your compasses take the distance equal to distance between C and D and then with T as centre, draw an arc which cuts the earlier arc at S.
5. Join QS and produce up to a suitable point R ∠PQR so obtained is the angle equal to the given ∠DEF

(iii) Steps for construction :

1. At point A draw line AB = QP
2. With Q as centre, draw an arc of any suitable radius, to cut the arms of the angle A + C and D.
3. With A as centre draw the arc of the same size as drawn for C and D. Let this arc cuts line AB at D.
4. In your compasses take the distance equal to distance between 7 and 5 ; and then with D as centre, draw an arc which cuts the earlier arc at E.
5. Join AE and produced upto to a suitable point C. ∠BAC so obtained is the angle equal to given ∠PQR

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