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प्रश्न
Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.
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उत्तर
∴ ∠PQR = 90°, and ∠P = ∠R ............(opposite sides are equal)
∴∠P + ∠R = 90°
Hence ZP = ZR = = 45°
Steps of Construction:
(i) Draw a line segment QR = 5.5 cm

(ii) At Q, draw a ray making an angle of 90° and cut off QP = 5.5 cm.
(iii) Join PR.
∆ PQR is an isosceles triangle.
(iv) Draw the angle bisector of ∠PQR. It is the line of symmetry. Since the triangle is an isosceles.
∴It has only one line of symmetry.
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संबंधित प्रश्न
Write capital letters A to Z of English alphabet; and in each case, if possible, draw the largest number of lines of symmetry.
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
an isosceles right-angled triangle
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
a square
If possible, draw a rough sketch of a quadrilateral which has exactly two lines of symmetry.
In each of the figure below, an additional line is indicated by dots. Observe, name the figure and state if the figure is symmetrical about the dotted line.
In the figure below are an isosceles triangle; state if the triangle is a symmetrical figure. If a figure is symmetrical, state the number of axis of symmetry and indicate them by dotted line.
In each of the figure below, an additional line is indicated by dots. Observe, name the figure and state if the figure is symmetrical about the dotted line.
A circle has two lines of symmetry.
Draw all lines of symmetry for the following figure.

The flag of Japan is shown below. How many lines of symmetry does the flag have?

