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51.

In the figure above ( not to scale ) , ABCD is a trapezium in which AB // DC. `angleACB=70^(@)` and `angleACD=30^(@)`. Find `angleABC`.

Answer» Correct Answer - `80^(@)`]
52.

Which of the following is true ?A. Diameter passes through the centre of the circle.B. The longest chord is the diameterC. The diameter is equal to 2 times the radius.D. All the above

Answer» Correct Answer - D
53.

A sector of an angle `90^(@)` is called.

Answer» Correct Answer - quadrant
54.

The radius of a circle is 10.5 cm. Find its circumference.

Answer» Correct Answer - 66 cm
Given r = 10.5 cm
Circumference = `2pir`
`=2xx(22)/(7)xx10.5`
`=44xx1.5`
= 66 cm
55.

The circumference of a circle is 132 cm. Find the length of its diameter.

Answer» Correct Answer - 42 cm
Circumference `=2pir=132 cm`
`2xx(22)/(7)xxr=132`
`r=(132xx7)/(2xx22)r=21 cm`
Diameter `=2r=2(21)=42cm`
56.

Find the circumference of the circle whose radius is 7 cm.

Answer» Circumference of the circle = `2pir`
`=2xx(22)/(7)xx7=44cm`
57.

The circumference of a circle is 22 cm. Find the diameter of the circle.

Answer» Given that: `2pir=22cm`
`2xx(22)/(7)xxr=22cm`
`r=22xx(7)/(2xx22)=(7)/(2)`
`therefore" Diameter of the circle"=2r=2xx(7)/(2)=7cm`
58.

state whether the statements are true (T) or false (F).(A) A circle has only 16 lines of symmetry.(B) A 45o - 45o - 90o set-square and a protractor have the same number of lines of symmetry.(C) It is possible to draw two bisectors of a given angle.

Answer»

(A) False

(B) True

(C) False

59.

A parallelogram has no line of symmetry. (True/ False)

Answer» Correct Answer - True
N/A
60.

state whether the statements are true (T) or false (F).(A) A right triangle can have at most one line of symmetry.(B) A kite has two lines of symmetry.(C) A parallelogram has no line of symmetry.(D) If an isosceles triangle has more than one line of symmetry, then itneed not be an equilateral triangle.

Answer»

(A) True

(B) False

(C) True

(D) False

61.

Fill in the blank.The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is________.

Answer»

The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is 4 (H, I, O, X).

62.

Fill in the blank,The number of capital letters of the English alphabets having only horizontal line of symmetry is________.

Answer»

The number of capital letters of the English alphabets having only horizontal line of symmetry is 5 (B, C, D, E, K)

63.

Write all the capital letters of the English alphabets which have more than one lines of symmetry.

Answer»

The correct answer is H, I, O, X

64.

Fill in Blank.The number of lines of symmetry in a rectangle and a square are______ (equal/unequal).

Answer»

The number of lines of symmetry in a rectangle and a square are Unequal

65.

Name all the line segments in Fig..

Answer»

The line segments are AB, BC, CD, DE, AC, AD, AE, BD, BE and CE.

66.

The number of lines of symmetry of a reactangle is _______A. 2B. 3C. 4D. 4

Answer» Correct Answer - A
67.

Which of the following digits have two lines of symmetry ? `0,1,2,3,4,5,6,7,8,9`

Answer» Correct Answer - 0 and 8
68.

The number of lines of symmetry of a square is _________A. 2B. 3C. 4D. Infinite

Answer» Correct Answer - C
69.

Fill in the blanks to make the statements true:The number of common points in the two angles marked in Fig. is ______.

Answer»

Two

The two angles marked; ∠PAQ and ∠PDQ

∴ The number of common points are 2 and these are P and Q.

70.

Fill in the blanks to make the statements true:The number of straight angles in Fig. is ______.

Answer»

The number of straight angles in Fig. is four.

The angles are, ∠AOD, ∠BOC, ∠COB, ∠DOA.

71.

Which of the following has an infinite number of lines of symmetry ?A. Equilateral triangleB. Isosceles triangleC. Regular hexagonD. Circle

Answer» Correct Answer - D
A circle has an infinite number of lines of symmetry.
Hence, the correct option is (d).
72.

Write down fifteen angles (less than 180°) involved in Fig.

Answer»

The names of fifteen angles (less than 180°) involved in figure are :

∠AEC, ∠ADB, ∠EAD, ∠EFD, ∠EFB, ∠DFC, ∠FBC, ∠FCB, ∠BFC, ∠ABC, ∠ACB, ∠DCF, ∠FDC, ∠EBF and ∠BEF.

73.

Fill in the blanks to make the statements true:The number of common points in the two angles marked in Fig. is ______.

Answer»

Four

The number of common points in the two angles marked in the given figure is 4 and these are E, D, G and F.

74.

Which of the following can have infinite lines of symmetry? (A) Ellipse (B) Semicircle (C) Line segmentA. A, BB. A, CC. B, CD. C

Answer» Correct Answer - D
A line segment has infinite lines of symmetry.
75.

A semicircle has ___________ line (s) of symmetry.

Answer» Correct Answer - one
76.

Write the number of lines of symmetry in each letter of the word ‘SYMMETRY’.

Answer»

S (Zero), Y (One), M (One), E (One), T (One), R (Zero)

77.

Which of the following has no line of symmetry?A. B. C. D.

Answer» Correct Answer - D
78.

In the figure, O is the centre of the circle and ∠ACB = 60° then ∠AOB = (1) 60° (2) 90° (3) 120° (4) 180°

Answer»

Answer is (3) 120°

79.

Copy Fig. 9.20 on your notebook and draw a perpendicular to l through P, using (i) set squares (ii) Protractor (iii) ruler and compasses. How many such perpendiculars are you able to draw?

Answer»

The correct answer is (i) Set squares.

80.

The instrument to draw a circle is (A) Ruler (B) Protractor (C) Divider (D) Compasses

Answer»

The correct answer is (B) Protractor

81.

Copy Fig. 9.21 on your notebook and draw a perpendicular from P to line m, using (i) set squares (ii) Protractor (iii) ruler and compasses. How many such perpendiculars are you able to draw?

Answer»

The correct answer is (i) Set squares.

82.

Draw the images of the points A, B and C in the line m (Fig. 9.17). Name them as A′, B′ and C′, respectively and join them in pairs. Measure AB, BC, CA, A′B′, B′C′ and C′A′. Is AB = A′B′, BC = B′C′ and CA = C′A′?

Answer»

Measure AB, BC, CA, A′B′, B′C′ and C′A′. Is (AB = A′B′) -  Yes, (BC = B′C′) - Yes and (CA = C′A) - Yes

83.

Draw the images of points A and B in line l of Fig. 9.14 and name them as A′ and B′ respectively. Measure AB and A′ B′. Are they equal?

Answer»

Yes ( They are equal) 

84.

Identify all the angles of the following geometrical shapes. Mark them as acute angle, right angle and obtuse angle.1. Acute angle vertex (corner) = ………….2. Right angle vertex = ………….3. Obluse angle vertex = ………….

Answer»

1. Acute angle vertex (corner) – A, B, C, D, E, M, V

2. Right angle vertex – F, G, H, I, J, T, U

3. Obtuse angle vertex – K, L, N, O, P, Q, R, S, W.

85.

Open your geometry box. There are some drawing tools. Observe them and complete the following table:Name of the toolNumber of lines of symmetry(i) The Ruler  ____(ii) The Divider  _____(ii) The Compasses _____(iv) The Protactor _____(v) Triangular piece with two equal sides _____(vi) Triangular piece with unequal sides _____

Answer»

(i) 2, (ii) 1, (iii) 0, (iv) 1, (v) 1 (vi) 0

86.

Walls of home are made up(a) at right angle(b) at obtuse angle(c) at acute angle(d) at straight angle

Answer»

Walls of home are made up at right angle.

87.

Angle less than right angle is known as(a) Obtuse angle(b) Right angle(c) Acute angle(d) Straight angle

Answer»

Angle less than right angle is known as acute angle.

88.

Those angles which are greater than right angle known as(a) Straight angle(b) Right angle(c) Obtuse angle(d) Acute angle

Answer»

(c) Obtuse angle

89.

Obtuse angle called(a) to 90° angle(b) to 180° angle(c) to 60° angle(d) to 135° angle

Answer»

Obtuse angle called to 135° angle

90.

Measure the following angles with the help of protractor.

Answer»

(i) 30°

(ii) 100°

(iii) 90°

(iv) 110°

(v) 153°

(vi) 180°

91.

Angle shown in the following figure known as(a) Acute angle(b) Right angle(c) Obtuse angle(d) Straight angle

Answer»

(b) Right angle

92.

Fill in the following blanks1. Every right angle is of measure ……………. .2. Tool used to measure angle is known as ……………. .3. 180° angle is called ……………. .4. All walls of our home is made up at ……………. .5. Angle greater than 90° and less than 180° ……………. is called6. Those angle which are smaller than right angle are called ……………. .7. Angle whose measure is 90° is called ……………. .

Answer»

1. 90°

2. Protractor

3. Straight angle

4. Right angle or 90°

5. Obtuse angle

6. Acute angle

7. Right angle

93.

Measure the angles given below with the help of a protractor.

Answer»

(1) 90°

(2) 60°

(3) 115°

94.

Write the type of the angle formed between the two hands of following watch.

Answer»

Straight angle.

95.

Write the type of the angle formed between the two hands of watch given below.

Answer»

Obtuse angle because it is greater than right angle.

96.

How angle is formed.

Answer»

When an object spins or turns or change direction it makes an angle.

97.

Which is called acute angle?

Answer»

Those angle which is less than right angle i.e., 90° called acute angle.

98.

How many types angles are ?

Answer»

Angles are of four type

(i) Right angle
(ii) Acute angle
(iii) Obtuse angle
(iv) Straight angle

99.

If the sum of two angles is greater than 180°, then which of the following is not possible for the two angles?(A) One obtuse angle and one acute angle(B) One reflex angle and one acute angle(C) Two obtuse angles(D) Two right angles.

Answer»

(D) Two right angles.

Because, sum of all angles of right angles is must be equal to 180o.

100.

Number of angles less than 180° in Fig. 2.17 is ______and their names are ______.

Answer»

12; ∠OAB, ∠OBA, ∠OAC, ∠OCA, ∠OCD, ∠ODC, ∠AOB, vAOC, ∠COD, ∠DOB, ∠BAC, ∠ACD