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Standard VI
Mathematics
Examples of Symmetry
An equilatera...
Question

An equilateral triangle is reflected about one of its sides. The figure formed by the triangle and its reflection is a:


A

Square

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B

Rectangle

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C

Parallelogram

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D

Rhombus

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Solution

The correct option is D

Rhombus



An equilateral triangle has its all sides equal and when it is reflected over one of its sides a quadrilateral having all of its four sides is formed. A quadrilateral having all the sides equal is known as RHOMBUS.


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A square is reflected about one of its sides. The figure formed by the square and its reflection is


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An isosceles right angled triangle is reflected about its hypotenuse. The figure formed by the triangle and its reflection is


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An isosceles right-angled triangle is reflected about its hypotenuse.

The figure formed by the triangle and its reflection is a


Q. Complete each of the following statements by means of one of those given in brackets against each:
(i) If one pair of opposite sides are equal and parallel, then the figure is ........................
(parallelogram, rectangle, trapezium)

(ii) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................ (square, rectangle, trapezium)

(iii) A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point. (perpendicular to parallel to, to meet)

(iv) If one angle of a parallelogram is a right angle, then it is necessarily a .................
(rectangle, square, rhombus)

(v) Consecutive angles of a parallelogram are ...................
(supplementary, complementary)

(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............
(rectangle, parallelogram, rhombus)

(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ....................
(parallelogram, rhombus, rectangle)

(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a ..................
(kite, rhombus, square)
Q.

State the number of lines of symmetry for the following figures:

(a) An equilateral triangle

(b) An isosceles triangle

(c) A scalene triangle

(d) A square

(e) A rectangle

(f) A rhombus

(g) A parallelogram

(h) A quadrilateral

(i) A regular hexagon

(j) A circle

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