मराठी

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".
एका वाक्यात 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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Reflection - Exercise 8.1

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 8 Reflection
Exercise 8.1 | Q 6

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 y-axis:

(6, –3)


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

(–6, 4)


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.


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.


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 mapped onto P' under the reflection in the x-axis. P' is mapped onto P" under the reflection in the origin. If the co-ordinates of 

P" are (5,-2), write down the co-ordinates of P. State the single transformation that takes place.


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


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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