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Use Graph Paper to Answer this Question: (I) Plot the Points a (4,6) and B (1, 2). (Ii) A’ is the Image of a When Reflected in X-axis, (Iii) B’ is the Image of B When B is Reflected in - Mathematics

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प्रश्न

Use graph paper to answer this question:
(i) Plot the points A (4,6) and B (1, 2).
(ii) A’ is the image of A when reflected in X-axis,
(iii) B’ is the image of B when B is reflected in the line AA’.
(iv) Give the geometrical name for the figure ABA’B’.

आलेख

उत्तर


(i) In the graph paper.
(ii) A (4, 6) → A' (4, -6)
(iii) B (1, 2) → B' (7, 2)
(iv) ABA'B' is a kite.

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Reflection of a Point in a Line
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Reflection - Exercise 3

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आईसीएसई Mathematics [English] Class 10
अध्याय 7 Reflection
Exercise 3 | Q 23

संबंधित प्रश्न

A point P is its own image under the reflection in a line l. Describe the position of point the P with respect to the line l.


P' is the image of P under reflection in the x-axis. If the co-ordinates of P' are (2, 10), write the co-ordinates of P.


A point P is reflected in the x-axis to P'. P' is then reflected in the origin to P". If the co-ordinates of P' are (-3, 4). Find the co-ordinates of P and P". Write the single transformation that map P onto P".

Find the co-ordinates of the image of A (-5, 4) after reflection in the line

y = 4


The image of a point P under reflection on the X-axis is (5, – 2). Write down the co-ordinates of P.


Write down the co-ordinates of the image of (5, – 4).
Reflection in y = 2.


P, Q have co-ordinates (-1, 2) and (6, 3) respectively. Reflect P on the X-axis to P’. Find:
(i) The co-ordinate of P’
(ii) Length of P’Q.
(iii) Length of PQ.
(iv) Is P’Q = PQ?


(i) Point P(a, b) reflected on the X-axis to P'(5, 2). Write down the value of a and b.
(ii) P” is the image of P when reflected on the Y-axis. Write down the co-ordinates of P”.
(iii) Name a single transformation that maps P’ to P”.


Use a graph paper for this question. (Take 10 small divisions = 1 unit on both axis). P and Q have co-ordinates (0, 5) (- 2, 4).
(i) P is invariant when reflected in an axis. Name the axis.
(ii) Find the image of Q on reflection in the axis found in (i).
(iii) (0, k) on reflection in the origin is invariant. Write the value of k.
(iv) Write the co-ordinates of the image of Q, obtained by reflecting it in the origin following by reflection in x-axis.


Use graph paper to answer the following questions. (Take 2 cm = 1 unit on both axis).
(i) Plot the points A (- 4, 2) and B (2, 4).
(ii) A’ is the image of A when reflected in the y-axis. Plot it on the graph paper and write the coordinates of A’.
(iii) B’ is the image of B when reflected in the line AA’. Write the coordinates of B’.
(iv) Write the geometric name of the figure ABA’B’.
(v) Name a line of symmetry of the figure formed.


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