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Name the Figure Formed by a Triangle and Its Reflection, When: an Isosceles Triangle is Reflected in Its Unequal Side. - Mathematics

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Question

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

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Solution

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Chapter 7: Reflection - Exercise 2

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ICSE Mathematics [English] Class 10
Chapter 7 Reflection
Exercise 2 | Q 1.3

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RELATED QUESTIONS

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 x-axis:

(0, 6)


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

(-4,-8)


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:

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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?


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.

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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