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Q.

Another name can you give to the line of symmetry of an isosceles triangle is ____.


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Detailed Solution

Concept- We need to be aware that a line of symmetry is a line that divides a form exactly in half in order to be able to answer thisQuestion. We also need to be aware that an isosceles triangle is a triangle with just two sides that have the same length.
Write another name for the isosceles triangle's symmetry line in the space provided in thisQuestion. Consider an isosceles triangle ABC for this, where AB = AC.
Question ImageHere, we have calculated the side BC's median AD starting from point A. We may thus write BD = CD. Triangle ABC and triangle ACD will now be discussed. We've been told that line AD is typical, AB Equals AC, and BD = CD. SSS congruence allows us to conclude that  Question Image  Therefore, we may conclude that both portions will equally overlap if we fold ABC from middle AD. And we are aware that a line of symmetry is a line that divides a form perfectly in half, so that both sides will equally overlap if the shape is folded from the line of symmetry.
As a result, we may state that the median of the third side, which is not equal in length to the other two sides, is the line of symmetry of an isosceles triangle.
Hence, the answer is median.
 
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