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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.
उत्तर
Steps of construction:
(i) Plot the point A and B on the graph.
(ii) Point symmetric to A(2,2) about x-axis is C(2,-2)
(iii) Point symmetric to B(5,5) about x-axis is 0(5,-5)
(iv) Join AB, AC, CD, BD.
The figure formed is a trapezium.
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.
Draw the line of symmetry of the following figure and also mark their points of symmetry, if any:
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.
Draw an equilateral triangle each of whose sides is 4 cm. Draw all its lines of symmetry.
Draw the lines of symmetry of the following.
Which word has a vertical line of symmetry?
The instrument in the geometry box having the shape of a triangle is called a ______.
In figure, if B is the image of the point A with respect to the line l and P is any point lying on l, then the lengths of the line segments PA and PB are ______.
Complete the following table.
|
Shape |
Rough figure |
Number of lines of symmetry |
|
Equilateral triangle |
|
3 |
|
Square |
______ |
______ |
|
Rectangle |
______ |
______ |
|
Isosceles triangle |
______ |
______ |
|
Rhombus |
______ |
______ |
|
Circle |
______ |
______ |
On a squared paper, sketch the following:
A hexagon with exactly two lines of symmetry.
