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प्रश्न
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’.
उत्तर
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.
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संबंधित प्रश्न
A(2,2) and B(5,5) are the vertices of a figure which is symmetrical about xaxis. Complete the figure and give its geometrical name.
Draw the line of symmetry of the following figure and also mark their points of symmetry, if any:
A rectangle has four lines of symmetry
Match the following shapes with their number of lines of symmetry
| Column A | Column B | ||
| i) | Square | a) | No line of symmetry |
| ii) | Parallelogram | b) | One line of symmetry |
| iii) | Isosceles triangle | c) | Two lines of symmetry |
| iv) | Rectangle | d) | Four lines of symmetry |
Which of the following letters have both horizontal and vertical lines of symmetry?
Which of the following letters has only one line of symmetry?
The number of lines of symmetry in a 30° – 60° – 90° set square is ______.
A rhombus is symmetrical about ______.
If an isosceles triangle has more than one line of symmetry, then it need not be an equilateral triangle.
Consider the letters of English alphabets, A to Z. List among them the letters which have vertical lines of symmetry (like A).
