Advertisements
Advertisements
Question
Construct an equilateral triangle with each side 6 cm. In the triangle drawn, draw all the possible lines of symmetry.
Advertisements
Solution
Steps of Construction:
(i) Draw a line segment BC = 6 cm
(ii) With centres B and C and radius 6 cm, draw two arcs intersecting each other at A.
(iii) Join AB and AC
∆ ABC is the required equilateral triangle,
(iv) Draw the angle bisectors of ∠A, ∠B, and ∠C.
These are the lines of symmetry which are three in numbers as the triangle is equilateral.
APPEARS IN
RELATED QUESTIONS
Take a graph paper and mark the points P(2, 1), Q(7, 1) and R(7,5). Taking QR as the line of symmetry, obtain and write the co-ordinates of point S.
Draw a triangle with only one line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Every diameter of circle is an axis of the symmetry for the circle. Each of the figure below contain a circle or a part of a circle. State the number of axis of symmetry in each case and also indicate them.
A quadrilateral ABCD has exactly one axis of symmetry, which is not a diagonal. Show that the quadrilateral is an isosoeles trapezium.
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.
Identify the shape given below. Check whether they are symmetric or not. Draw the line of symmetry as well.
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.
The flag of Japan is shown below. How many lines of symmetry does the flag have?
What happens when paper is folded along the line of symmetry?
