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Perform the Following Operation and State the Single Transformation that Take Place :

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Question

Perform the following operation and state the single transformation that take place  :

 Mx . Mo on P (-1,-3) 

Sum
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Solution

 Mx . Mo on P (-1,-3) 

=Mx.Mo ( -1,-3) 

= Mx (-1, 3) 

= (-1,-3); reflection in the y-axis 

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Chapter 11: Reflection - Exercise 8.1

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Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 11 Reflection
Exercise 8.1 | Q 14.4

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Use graph sheet for this question. Take 2 cm = 1 unit along the axes.

  1. Plot A(0, 3), B(2, 1) and C(4, –1).
  2. Reflect point B and C in y-axis and name their images as B' and C' respectively. Plot and write coordinates of the points B' and C'.
  3. Reflect point A in the line BB' and name its images as A'.
  4. Plot and write coordinates of point A'.
  5. Join the points ABA'B' and give the geometrical name of the closed figure so formed.

Study the graph and answer each of the following:

  1. Write the coordinates of points A, B, C and D.
  2. Given that, point C is the image of point A. Name and write the equation of the line of reflection.
  3. Write the coordinates of the image of the point D under reflection in y-axis.
  4. Whats the name given to a point whose image is the point itself?
  5. On joining the points A, B, C, D and A in order, a figure is formed. Name the closed figure.


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