Maths : Geometry: Book Back, Exercise, Example Numerical Question with Answers, Solution : Student Activity Questions and Answers

Solution:

Progress Check

Say True or False

1. Every chord of a circle contains exactly two points of the circle.

2. All radii of a circle are of same length.

3. Every radius of a circle is a chord.

4. Every chord of a circle is a diameter.

5. Every diameter of a circle is a chord.

6. There can be any number of diameters for a circle.

7. Two diameters cannot have the same end-point.

8. A circle divides the plane into three disjoint parts.

9. A circle can be partitioned into a major arc and a minor arc.

10. The distance from the centre of a circle to the circumference is that of a diameter

1. How many sides does a circle have ?

2. Is circle, a polygon?

Progress Check

1. The radius of the circle is 25* cm *and the length of one of its chord is 40cm. Find the distance of the chord from the centre.

2. Draw three circles passing through the points *P* and *Q*, where *PQ* = 4cm.

Activity − 5

Procedure

1. Draw a circle with centre *O* and with suitable radius.

2. Make it a semi-circle through folding. Consider the point *A*, *B* on it.

3. Make crease along *AB* in the semi circles and open it.

4. We get one more crease line on the another part of semi circle, name it as *CD* (*observe AB* = *CD*)

5. Join the radius to get the ΔOAB and Δ*OCD* .

6. Using trace paper, take the replicas of triangle ΔOAB and Δ*OCD*.

7. Place these triangles ΔOAB and Δ*OCD* one on the other.

Observation

1. What do you observe? Is Δ*OAB *≡* *Δ*OCD *? Answer: *OAB *≡* *Δ*OCD *

2. Construct perpendicular line to the chords *AB* and *CD* passing through the centre *O*. Measure the distance from *O* to the chords.

Activity – 6

Procedure :

1. Draw three circles of any radius with centre *O* on a chart paper.

2. From these circles, cut a semi-circle, a minor segment and a major segment.

3. Consider three points on these segment and name them as *A*, *B* and *C*.

4. (iv) Cut the triangles and paste it on the graph sheet so that the point *A* coincides with the origin as shown in the figure.

Observation :

(i) Angle in a Semi-Circle is * right* angle.

(ii) Angle in a major segment is __ acute__ angle.

(iii) Angle in a minor segment is __ obtuse__ angle.

Progress Check

i. Draw the outline of different size of bangles and try to find out the centre of each using set square.

ii. Trace the given cresent and complete as full moon using ruler and compass.

Activity − 7

Procedure

1. Draw a circle of any radius with centre O.

2. Mark any four points *A, B, C* and *D* on the boundary. Make a cyclic quadrilateral *ABCD* and name the angles as in Fig. 4.78

3. Make a replica of the cyclic quadrilateral *ABCD* with the help of tracing paper.

4. Make the cutout of the angles *A, B, C* and *D* as in Fig. 4.79

5. Paste the angle cutout ∠1, ∠2, ∠3 and ∠4 adjacent to the angles opposite to *A, B, C* and *D* as in Fig. 4.80

6. Measure the angles ∠1 + ∠3, and ∠2 + ∠4.

Observe and complete the following:

1. (i) ∠A + ∠C = __180____°__

(ii) ∠B + ∠D = __180____°__

(iii) ∠C + ∠A = __180____°__

(iv) ∠D +∠B = __180____°__

2. Sum of opposite angles of a cyclic quadrilateral is __180____°__.

3. The opposite angles of a cyclic quadrilateral is _______.

1. If a pair of opposite angles of a quadrilateral is supplementary, then the quadrilateral is _____________.

2. As the length of the chord decreases, the distance from the centre _____________.

3. If one side of a cyclic quadrilateral is produced then the exterior angle is _____________ to the interior opposite angle.

4. Opposite angles of a cyclic quadrilateral are _____________.

Tags : Numerical Problems with Answers, Solution | Geometry | Maths , 9th Maths : UNIT 4 : Geometry

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9th Maths : UNIT 4 : Geometry : Student Activity Questions and Answers | Numerical Problems with Answers, Solution | Geometry | Maths

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