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Find the Co-ordinates of the Image of S(4,-1) After Reflection in the Line - Mathematics

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प्रश्न

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

x = 0

एक पंक्ति में उत्तर

उत्तर

Co-ordinates of image =(2x0-4,-1)= (-4,-1)

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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 16.1

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)

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.


S' is the image of S under reflection in the origin. If the co-ordinates of S are (2,-5), write the co-ordinates of S'.


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 = 0


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


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.


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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