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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). - Mathematics

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प्रश्न

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".
एक पंक्ति में उत्तर

उत्तर

P' = (-3, 4).
Therefore, the co-ordinates of P under reflection in the x-axis = (-3,-4)
and the co-ordinates of P" under reflection in the origin = (3,-4).
The single transformation = reflection in the y-axis.

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Reflection of a Point in a Line
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
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 6

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.


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.


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 = 0


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

y = 4


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


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.


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