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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

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:

(-7, 5)


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)


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?


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


Name the figure formed by a triangle and its reflection, when:
An isosceles triangle is reflected in its unequal side.


Name the figure formed by a triangle and its reflection, when:
A scalene triangle is reflected in its greatest side.


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


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.

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