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Study the graph and answer each of the following: Write the coordinates of points A, B, C and D. Given that, point C is the image of point A. Name and write the equation of the line of reflection - Mathematics

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प्रश्न

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.

आलेख
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उत्तर

  1. A(3, 3), B(–2, 1), C(3, –1) and D(0, 1)
  2. BD and y = 1 is the line of reflection.
  3. D(0, 1)
  4. Invariant point.
  5. Concave Quadrilateral or Arrowhead.
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संबंधित प्रश्न

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

(3 , -9)


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

(2, 8)


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

(-5,-6)


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

(-4, 7)


The points B and C have the co-ordinates (3, 2) and (0, 3). Find B', the image of B under the reflection in the x-axis and C', the image of C under the reflection in the line BB'.


Write down the co-ordinates of the image of the point (-2, 4) under reflection in the origin and under reflection in the y-axis. What is the distance between the points of reflection?


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

 Mx . Mo on P (-1,-3) 


Name the figure formed by a triangle and its reflection, when:
A right-angled triangle is reflected in its hypotenuse.


The point (3, 0) is invariant under reflection in:


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.

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