Advertisements
Advertisements
प्रश्न
Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Take a graph paper and mark the points A(2,0), B(2,8) and C(S,4) on it. Taking AB as the line of symmetry, obtain and write the co-ordinates of point D. Complete the quadrilateral ABCD and give its geometrical name.
In the following figure, the line of symmetry has been drawn with a dotted line. Identify the corresponding sides and the corresponding angles about the line of symmetry.
In the figure given below, draw the line (s) of symmetry, if possible:
Draw a triangle with exactly two lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a triangle with exactly three lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw the mirror image:
Find out which letters in the English alphabet look the same after half a turn.
Identify the shape given below. Check whether they are symmetric or not. Draw the line of symmetry as well.
Draw all lines of symmetry for the following figure as given below:
Trace figure. Then draw all lines of symmetry, if it has.
