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’.
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Solution
1) The points A(4, 4), B(4, -6) and C(8, 0) are plotted on the coordinate plane as follows:
2) To reflect the points ABC across Y axis we will keep y coordinate as it is and negate the x coordinate.
The reflected image of the triangle is shown in blue.
3) The coordinates of point A’, B’, C’ are (-4, 4), (-4,-6) and (-8, 0) respectively.
5) The line of symmetry of AA’C’B’BC would be the y axis.
Concept: Concept of Lines Symmetry
Is there an error in this question or solution?
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