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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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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'.


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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.

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