- Lines of symmetry of an isosceles triangle, equilateral triangle, rhombus, square, rectangle, pentagon, hexagon, octagon (all regular) and diamondshaped figure.
- Being given a figure, to draw its lines of symmetry. Being given part of one of the figures listed above to draw the rest of the figure based on the given lines of symmetry (neat recognizable free hand sketches acceptable)
Shaalaa.com | Symmetry
In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter and side BC//AE.If
∠ BAC=50°, find giving reasons:
Hence prove that BE is also a diameter
Use a graph paper for this question (Take 2 cms = 1 unit on both x and y-axis)
1) Plot the following points:A(0, 4), B(2, 3), C(1, 1) and D(2, 0)
2) Reflect points B, C, D on the y-axis and write down their coordinates. Name the images as B’, C’, D’ respectively
3) Join the points A, B, C, D, D’, C’, B’ and A in order, so as to form a closed figure. Write
down the equation of the line of symmetry of the figure formed
AB is a diameter of a circle with centre C = (–2, 5). If A = (3, –7). Find
1) the length of radius AC
2) the coordinates of B.
Using graph paper and taking 1 cm = 1 unit along both x-axis and y-axis.
1) Plot the points A(–4, 4) and B(2, 2).
2) Reflect A and B in the origin to get the images A’ and B’ respectively.
3) Write down the coordinates of A’ and B’.
4) Give the geometrical name for the figure ABA’B’.
5) Draw and name its lines of symmetry.
Use a graph paper to answer the following questions (Take 1 cm = 1 unit on both axes)
1) Plot A(4,4), B(4,-6) and C(8,0), the vertices of a triangle ABC.
2) Reflect ABC on the y-axis and name it A’B’C’.
3) Write the coordinates of the images A’, B’ and C’.
4) Give a geometrical name for the figure AA’ C’ B’ BC.
5) Identify the line of symmetry of AA’ C’ BC’.
Use graph paper for this question. (Take 2 cm = 1 unit along both x and y-axis.) Plot the points O(0, 0), A(-4, 4), B(-3, 0) and C(0, -3)
1) Reflect points A and B on the y-axis and name them A’ and B’ respectively. Write down their coordinates.
2) Name the figure OABCB’A’.
3) State the line of symmetry of this figure
Use graph paper to answer the following questions. (Take 2 cm = 1 unit on both axes)
1) Plot the points A( -4, 2) and B(2, 4)
2) A' is the image of A when reflected at the y-axis. Plot it on the graph paper and write the coordinates of A'.
3) B' is the image of B when reflected on the line AA'. Write the coordinates of B'.
4) Write the geometric name of the figure ABA'B'.
5) Name a line of symmetry of the figure formed