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Write Down the Co-ordinates of the Image of (5, – 4). Reflection in Y = 2. - Mathematics

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प्रश्न

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

आलेख

उत्तर


Reflection in y = 2 is (5, 8).

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Reflection of a Point in a Line
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अध्याय 7: Reflection - Exercise 3

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आईसीएसई Mathematics [English] Class 10
अध्याय 7 Reflection
Exercise 3 | Q 3.2

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)


The point P(a, b) is first reflected in the origin and then reflected in the y-axis to P’. If P’ has co-ordinates (4, 6); evaluate a and b.


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.


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


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

x = 0


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

(0, 0)


Use a graph paper for this question.
(i) The point P (2, – 4) is reflected about the line x = 0 to get the image Q. Find the coordinates of Q.
(ii) Point Q is reflected about the line y = 0 to get the image R. Find the co-ordinates of R.
(iii) Name the figure PQR.
(iv) Find the area of figure PQR.


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?


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