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Correct option is B) 0

(D) Compasses

The instrument to draw a circle is compasses.

Correct option is D) 4

Correct option is A) 1

The letter S of the given word have no line of symmetry.

Correct option is D) F

(a) Yes 

(b) Yes 

(c) Yes

Since, PA = PC

⇒ PA + PB = PC + PB [By adding PB on both sides]

(d) Yes, since, PA + PB = CP + PB

Now, CP + PB will be minimum when C, P and B lie on a line.

True

Only one perpendicular bisector can be drawn to a given line segment.

True

With a given centre and a given radius, only one circle can be drawn.

False

Infinitely many perpendicular bisectors can be drawn to a given ray.

Perpendicular

The line of symmetry of a line segment is the Perpendicular bisector of the line segment.

6

The number of lines of symmetry in a regular hexagon is 6.

The number of lines of symmetry in a picture of Taj Mahal is one.

The number of lines of symmetry in a rectangle and a rhombus are equal.

False

Using only the two set-squares of the geometry box, an angle of 40° can be drawn.

True

Using 45° – 45° – 90° set square we can draw an angle of 45°. 

Now using 30° – 60° – 90° set square we can draw an angle of 30° inside the 45° angle taking one arm common in both. 

So, the angle between 45° and 30° is 15°.

True

If an isosceles triangle has more than one line of symmetry, then it must be an equilateral triangle.

False

Since, isosceles triangle is symmetrical about the bisector of the angle included between the equal sides, i.e., only one line of symmetry.

∴ If it has more than one line of symmetry then it must be an equilateral triangle.

The digit having only one line of symmetry is 3.

The number of digits having no line of symmetry is 7.

The digits having no line of symmetry are 1 4, 5, 6, 7 and 9

The digits having only two lines of symmetry are 0 and 8.

(C) 2

We know that, ruler has shape of rectangle,

So, the number of lines of symmetry in a ruler is 2.

(A) 0

From the question it is given that, measurement of scalene triangle.

So, the number of lines of symmetry in given set-square is 0.

(B) 1

The number of lines of symmetry in a divider is 1.

True

A parallelogram has no line of symmetry.

The number of scales in a protractor for measuring the angles is two.

Correct answer is (C) N.

Correct answer is (D) 85°.

If B is the image of A in line l and D is the image of C in line l, then AC = BD.

False

Because a kite has only one line of symmetry.

The angle of rotational symmetry of a square is 90°.

True

A right triangle can have at most one line of symmetry if its remaining two angles are equal.

Mid points

A rectangle is symmetrical about the lines joining the mid points of the opposite sides.

A rectangle has two lines of symmetry, namely, the lines joining the midpoints of its opposite sides.

Also a rectangle has rotational symmetry of order 2, when rotated through 180^o and 360^o.

Diagonals

 A rhombus is symmetrical about diagonals.

Correct option is  C) \(\frac{360}{2n}\)

Correct option is D) Every figure has an axes of symmetry

Correct option is A) 4

Minimum number of sides of a polygon is 3.

False

Since, a circle is symmetrical about each of its diameters. So it has infinite lines of symmetry.

False

A square has 4 lines of symmetry whereas rectangle has 2 lines of symmetry.

1. The name written in reverse alphabets on the vehicle reads as ‘AMBULANCE’ when viewed in the mirror. In the case of an emergency, it helps a driver to quickly notice an ambulance by looking into his rear view mirror and read the reverse alphabets which appear perfectly normal in a mirror

2. Other than ambulance, we see letters written in reverse on school bus.

(i) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore an equilateral triangle has 3 lines of symmetry.

(ii) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore an isosceles triangle has 1 line of symmetry.

(iii) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a scalene triangle has no line of symmetry.

(iv) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a rectangle has 2 lines of symmetry.

(v) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a rhombus has 2 lines of symmetry.

(vi) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a square has 4 lines of symmetry.

(vii) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a parallelogram has no line of symmetry.

(viii) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a quadrilateral has no line of symmetry.

(ix) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a regular pentagon has 5 lines of symmetry.

(x) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a regular hexagon has 6 lines of symmetry.

(xi) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a circle has an infinite number of lines of symmetry all along the diameters.

(xii) If a line divides a figure into two parts such that when the figure is folded about the line the two parts of the figure coincide, then the line is known as the line of symmetry.

Therefore a semicircle has only one line of symmetry.

n

The number of lines of symmetry in a regular polygon of n sides is n.

False

Since, we can draw only one bisector of a given angle.

False

Since, a regular octagon has 8 sides.

∴ It must have 8 lines of symmetry.

True .

Infinitely many perpendiculars can be drawn to a given ray.

False

Since, only one perpendicular can be drawn to a given line from a point not lying on it.

As we know that a rectangle has two lines of symmetry, which are obtained by joining the midpoints of opposite sides.

∴ The given figure shows that AC and BD are the lines of symmetry.

True

If a rectangle has more than two lines of symmetry, then it must be a square.