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Find the Co-ordinates of the Image of a (-5, 4) After Reflection in the Line - Mathematics

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प्रश्न

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

y = 4

एका वाक्यात उत्तर

उत्तर

Co-ordinates of image = (-5, 2x4-4)= (-5,4)

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Reflection of a Point in a Line
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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 15.2

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 y-axis:

(6, –3)


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


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.


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

y = 0


Point A ( 4,-1) is reflected as A' in the line x= 1. Point B on reflection in the line y=3 is mapped as B' (6,-1). Write the co-ordinates of A' and B. Write the co-ordinates of mid.-ooint of the line sgment A' B'. 


(i) Find the reflection of the point (3, 5) on X-axis.
(ii) Find the reflection of the point (- 3, 5) on X-axis.
(iii) Find the reflection of the point (- 3, – 5) on X-axis.
(iv) Find the reflection of the point (3, – 5) on X-axis.


Using graph paper and taking 1 cm = 1 unit along both x-axis and y-axis.
(i) Plot the points A (- 4, 4) and B (2, 2).
(ii) Reflect A and B in the origin to get the images A’ and B’ respectively.
(iii) Write down the co-ordinates of A’ and B’.
(iv) Give the geometrical name for the figure ABA’B’.
(v) Draw and name its lines of symmetry.


Use graph paper for this question.
The point P (5, 3) was reflected in the origin to get the image P’.
(i) Write down the co-ordinates of P’.
(ii) If M is the foot of the perpendicular from of P to the X-axis, find the co-ordinates of M.
(iii) If N is the foot of the perpendicular from of P’ to the X-axis, find the co-ordinates of N.
(iv) Name the figure PMP’N.
(v) Find the area of die figure PMP’N.


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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