Question

Cut out any large $\Delta XYZ$. (If the triangle has a longest side, let that side be $\overline{YZ}$.) Fold so tha X tlies on the fold line and Y fails on $\overline{YZ}$. Let P be the intersection of $\overline{YZ}$ and the fold line. Unfold. Now fold the paper so that Y coincides with P. Fold it twice more so that both X and Y coincide with P. What result of this section does this illustrate?

Short answer

It illustrates that after folding it will look like a right-angled triangle.

Step-by-step solution

Step 1. Cut a triangle

Cut out any large $\Delta XYZ$.

Fold so that lies on the fold line and Y falls on YZ.

Consider that P be the intersection of YZ and the fold line. Unfold.

Step 2. Fold the paper

Fold the paper Y coincides with P. Fold it twice more both X and Z coincide with P.

It is clear from the figure that after folding each point coincides with P.

Step 3. Draw the final figure

The figure will be visible as shown below, it looks like right angle triangle.