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State the Co-ordinates of the Images of the Following Point Under Reflection in the Y-axis: - Mathematics

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Question

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

(-4, 7)

Sum

Solution

The co-ordinate of the given point under reflection in the y-axis is: (4, 7).

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Chapter 8: Reflection - Exercise 8.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 8 Reflection
Exercise 8.1 | Q 2.4

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Use graph sheet to Solution this question. Take 2 cm = 1 unit alogn both the axes.

  1. Plot A, B, C where A(0, 4), B(1, 1) and C(4, 0)
  2. Reflect A and B on the x-axis and name them as E and D respectively.
  3. Reflect B through the origion and name it F. Write down the coordinates of F.
  4. Reflect B and C on the y-axis and name them as H and G respectively.
  5. Join points A, B, C, D, E, F, G, H and A in order and name the closed figure formed.

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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