(i) On combining two identical set-squares which have angles of measure 30° ,60° and 90°, we get the following shapes.

Here, rectangle has 2 lines of symmetry and kite has 1 line of symmetry which are shown by dotted linesin above figures.
(ii) On combining two identical set-squares which have angles of measure 45°,45° and 90°, we get the following shapes.

Here, right angled isosceles triangle has 1 line of symmetry, square has 4 lines of symmetry, which are shown by dotted lines in figures.
(iii)

On combining three identical set-squares which have angles of measure 45°, 90° and 45°, we get the adjoining shape. Here, isosceles trapezium has 1 line of symmetry which is shown by dotted line in the adjoining figure.

The given word is 'SYMMETRY' The letter S has no line of symmetry. Letter Y has one line of symmetry.

The letter M has one line of symmetry

The letter E has one line of symmetry

The letter T has one line of symmetry

The letter R has no line of symmetry.

Image of line segment AB is A'B' as shown below in figure.

Now, it is clear that the length of line segment AB is equal to length of line segment A'B'.

Given, in figure, the image of the point A is C, in the line l.

(a) Yes, the image of P in line is the point P itself.
(b) Yes, PA = PC
(c) Yes, PA + PB = PC + PB because the distance PA=PC.
(d) Yes, from the point P in the line I, the sum of the distances of points A and B is minimum.

The images of the point P, Q and R in the line n are P',Q' and R', respectively.

It is clear that ㄥPQR = ㄥP'Q'R'

The complete figures are shown below:

In the given figure of circle, we can draw 5 lines of symmetry to bisect the figure in equal parts. Hence, the lines of symmetry of given circle is 5.

First, we draw rough figure of each shape.
(ii) A rough figure of a square is given below:

In square, l₁,l₂,l₃ and l₄ are four lines of symmetry.
(iii) A rough figure of a rectangle is given below:

In rectangle,l₁ and l₂ are two lines of symmetry.
(iv)A rough figure of an isosceles triangle is given below:

In rhombus, l₁ and l₂ are two lines of symmetry.
(vi) A rough figure of a circle is given below:

In circle, there are infinite lines of symmetry.

4 lines of symmetry

Vertical