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Name the Figure Formed by a Triangle and Its Reflection, When: a Right-angled Triangle is Reflected in Its Hypotenuse.

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Question

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

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Solution

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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:
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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 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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