Question 340316
A square that measures 5 inches on a side... 

{{{drawing(400,400,-10,10,-10,10, rectangle(-9,-9,9,9),
locate(0,-9,5), locate(0,9,5),locate(-9,0,5),locate(9,0,5)

  )}}}


is folded in half along a diagonal. 

{{{drawing(400,400,-10,10,-10,10, rectangle(-9,-9,9,9),
locate(0,-9,5), locate(0,9,5),locate(-9,0,5),locate(9,0,5),
green(line(-9,-9,9,9))

  )}}}
<pre><b>
and looks like this:

{{{drawing(400,400,-10,10,-10,10, triangle(-9,-9,9,-9,9,9),
locate(0,-9,5), green(line(-9,-9,9,9)), locate(9,0,5)

  )}}}
</pre></b>
Which of the following must be true?

I. The triangle is a right triangle
<pre><b>
Certainly looks like one to me.
</pre></b>
II. The triangle is an isosceles triangle
<pre><b>
Sure is. It has two sides equal in length for both measure 5.
</pre></b>
III. The length of the hypotenuse of the triangle is 5
<pre><b>
Nope! No way that green hypotenuse is as short as those two black legs!
</pre></b>
(a)I  only
(b)II  only
(c)III  only
<font color = "red">(d)I II  only</font>
</font><pre><b>
That's it!</pre></b>
(e)I  II III  only
<pre><b>
Edwin</pre>