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प्रश्न
Use a ruler and compass only in this question.
Construct the quadrilateral ABCD in which AB = 5 cm, BC = 7 cm and angle ABC = 120°, given that AC is its only line of symmetry.
उत्तर
Steps of construction :
(1) Draw BC = 7 cm and at B make ∠ABC = 120°
(2) With B as centre and radius = 5 cm, cut BX at A.
(3) With A as centre and radius = 5 cm draw an arc and with C as centre and radius = 7 cm draw another arc. The arcs meet at D.
Thus ABCD is the required quadrilateral.
APPEARS IN
संबंधित प्रश्न
Use a graph paper for this question taking 1 cm = 1 unit along both the x and y-axis :
1) Plot the points A(0, 5), B(2, 5), C(5, 2), D(5, -2), E(2, -5) and F(0, -5).
2) Reflect the points B, C, D and E on the y-axis and name them respectively as B’, C’, D’ and E’.
3) Write the coordinates of B’, C’, D’ and E’.
4) Name the figure formed by B C D E E’ D’ C’ B’.
5) Name a line of symmetry for the figure formed.
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
Draw and answer the following.
A triangle which has no line of symmetry
Once there was a king. He was upset because thieves kept stealing costly jewels from his locker. Here is what the locker looked like:
The locker could be opened by giving its handle half a turn. Another half turn and the locker would be locked again.
- The king would often leave the locker open thinking it was locked. Can you guess the reason?
Among the following shapes, find out which ones would look the same after turn. Put a (✓).
Put a (X) on the shapes that will not look the same after half a turn.
In the following figures, the figure that is not symmetric with respect to any line is ______.
The instrument in the geometry box having the shape of a triangle is called a ______.
The number of capital letters of the English alphabets having no line of symmetry is ______.
If an isosceles triangle has more than one line of symmetry, then it need not be an equilateral triangle.
On a squared paper, sketch the following:
A quadrilateral with both horizontal and vertical lines of symmetry.
