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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. - Mathematics

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प्रश्न

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.

एक पंक्ति में उत्तर

उत्तर

P' = (2, 10). Therefore, the co-ordinates of P under reflection in the x-axis = (2,-10)

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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 4

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)

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


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”.

A point P is reflected in the x-axis. Co-ordinates of its image are (8, −6). Find the co-ordinates of P. Find the co-ordinates of the image of P under reflection in the y-axis.


A point P (-8, 1) is reflected in the x-axis to the point P'. The point P' is  then reflected in the origin to point P". Write down the co-ordinates of P". State the single transformation that maps P into P".


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

y = 4


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

y = 5


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'. 


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


The point P(3, 4) is reflected to P’ in the x-axis and O’ is the image of O (the Origin) in the line PP’ Find :
(i) The coordinates of P’ and O’.
(ii) The length of segment PP’ and OO’.
(iii) The perimeter of the quadrilateral POP’O’
(iv) What is the special name of the quadrilateral POP’O’.


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