Draw a circle of radius

a. 3 cm

b. 4.5 cm

2. With the same centre O, draw three circles having radii 2.5 cm, 3.5 cm and 4.5 cm. What is the special name given to such circles?

3. Draw a circle with centre O. Draw another circle whose boundary passes through O. 4. Draw a circle of radius 4.2 cm. Mark points P, Q and R such that

a. P is on the circle.

b. Q is in the interior of the circle.

5. Draw a circle of radius 3.2 cm. Mark a point A on it. Draw another circle with A as centre and radius 3.2 cm. Do these circles intersect at more than one point?

c. R is in the exterior of the circle.

6. Draw a circle of radius 5 cm. Mark three points P, Q and R at a distance of 4.5 cm, 5 cm and 5.5 cm from the centre of the circle, respectively. Name the points that are inside, outside and on the boundary of the circle.

7. Draw a circle and any two of its diameters. Name the figure obtained by joining the end points of these diameters Exercise 15.2

8. Draw a line segment AB. Take a point P on it. Through P, draw a line perpendicular to AB using a ruler and a compass.

9. Draw a line p. Take a point A outside it. Through A, draw a line perpendicular to p using a ruler and a compass

10. Draw a line segment PQ of length 6.3 cm. Take a point R on PQ such that PR = 2 cm. Draw RS PQ.

11. Draw a line segment AB of length 8 cm. Take a point C outside it. Through C, draw CD 1 AB such that D lies on AB.

12. Draw a line segment MN of length 7 cm. Take a point O on MN such that MO = 3.5 cm6. Exercise 15.3

13. Draw AB having length 6 cm and construct its perpendicular bisector PQ cutting AB at point M. Measure

a. AM

b. MB

c. ZAMP

d. ∠BMP

2 Draw a line segment of length 12 cm. Using compass divide it into four equal parts. Verify by measurement.

3. Draw a circle with centre O and radius 3.5 cm. Draw a chord PQ. Construct the perpendicular bisector of PQ and check whether it passes through centre O. Exercise 15.4

4. Construct the following angles using a protractor.

a. 65°

b. 80°

с. 110°

d. 95°

e. 125°

f. 172°

2. Find the measure of ∠BOC and reflex ∠BOC in (f) in the following figures.

b.

B

C.

C

B

15

a.

B

45°

60°

C

A

C

A B

e.

B

f.

B

C

30°

A

75°

C

A

3. Draw ∠PQR = 80° using protractor. Also construct the bisector of ∠PQR.

4. Construct ∠AOB = 130° using protractor. Draw a ray OX bisecting ∠AOB. 5 Construct the following angles using compass and ruler.

a. 30°

b. 120°

c. 150°

d. 135°

6. Construct a circle having radius of any measurement. Draw its diameter. Draw another die which is perpendicular to it. Name the figure formed by joining the end points of these diameIn pdf format