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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. - Mathematics

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Question

Name the figure formed by a triangle and its reflection, when:
An isosceles 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:
A 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.


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.

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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