how many lines of symmetry does an isosceles right triangle have?

draw a diagram to illustrate

To determine the number of lines of symmetry of an isosceles right triangle, we need to understand what symmetry is.

Symmetry is the property of an object that remains unchanged when it is transformed in some way. For a shape to have a line of symmetry, it means that if the shape is folded along that line, the two resulting halves will be identical.

Now, let's look at an isosceles right triangle.

*
**
***
****

In this case, we can fold the triangle from the hypotenuse (the longest side) towards the midpoint of the base (the horizontal side). By doing so, we will see that the two resulting halves are identical in shape.

* *
** **
*** ***
**** ****

Thus, an isosceles right triangle has exactly one line of symmetry.