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Find the Co-ordinates of the Image of a (-5, 4) After Reflection in the Line - Mathematics

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प्रश्न

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

y = 4

एक पंक्ति में उत्तर

उत्तर

Co-ordinates of image = (-5, 2x4-4)= (-5,4)

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Reflection of a Point in a Line
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अध्याय 8: Reflection - Exercise 8.1

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 8 Reflection
Exercise 8.1 | Q 15.2

संबंधित प्रश्न

Complete the following table:

  Point Transformation Image
(a) (5, –7) -------------------- (–5, 7)
(b) (4, 2) Reflection in x-axis -------
(c) ------- Reflection in y-axis (0, 6)
(d) (6, –6) -------------------- (–6, 6)
(e) (4, –8) -------------------- (–4, –8)

State the co-ordinates of the following point under reflection in the line x = 0:

(–6, 4)


A point P is reflected in the origin. Co-ordinates of its image are (–2, 7). Find the co-ordinates of the image of P under reflection in the x-axis.


The point P(x, y) is first reflected in the x-axis and reflected in the origin to P’. If P’ has co-ordinates (–8, 5); evaluate x and y.


The point A(–3, 2) is reflected in the x-axis to the point A’. Point A’ is then reflected in the origin to point A”.

  1. Write down the co-ordinates of A”.
  2. Write down a single transformation that maps A onto A”.

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.


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

(0, 0)


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.


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 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’.


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