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Write Down the Co-ordinates of the Image of (5, – 4). Reflection in Y = 2. - Mathematics

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प्रश्न

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

आलेख

उत्तर


Reflection in y = 2 is (5, 8).

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Reflection of a Point in a Line
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पाठ 7: Reflection - Exercise 3

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आईसीएसई Mathematics [English] Class 10
पाठ 7 Reflection
Exercise 3 | Q 3.2

संबंधित प्रश्‍न

A point P is reflected in the x-axis. Co-ordinates of its image are (–4, 5). Find the co-ordinates of P.


Find the co-ordinates of the image of S(4,-1) after reflection in the line

x = 0


Point A (1,-5) is mapped as A' on reflection in the line y= l . The point B (-5, 1) is mapped as B' on reflection in the line y=4. Write the co-ordinates of A' and B'. Calculate AB'. 


State the co-ordinates of the following point under reflection in x-axis:

(–5, 4)


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


Using a graph paper, plot the points A (6,4) and B (0,4).
(i) Reflect A and B in the origin to get the images A’ and B’.
(ii) Write the co-ordinates of A’ and B’.
(iii) State the geometrical name for. the figure ABA’B’.
(iv) Find its perimeter.


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?


A point P(4, – 1) is reflected to P’ in the line y = 2 followed by the reflection to P” in the line x = -1. Find :
(i) The co-ordinates of P’.
(ii) The co-ordinates of P”.
(iii) The length of PP’.
(iv) The length of P’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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