Advertisements
Advertisements
Question
Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.
Advertisements
Solution
∴ ∠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
RELATED QUESTIONS
A(8,2) and B(6,4) are the vertices of a figure which is symmetrical about x = 6 and y = 2. Complete the figure and give the geometrical name of the figure.
In the figure given below, draw the line (s) of symmetry, if possible:
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:
a rectangle
In each of the figure below, state the number of axes of symmetry, if any.
One day his clever daughter gave him an idea which he liked very much. Now he never got confused.
- Can you guess what the idea was?
Find out which letters in the English alphabet look the same after half a turn.
Draw all lines of symmetry for the following figure.
Draw all lines of symmetry for the following figure.
What is the defining characteristic of a symmetrical shape?
