1. ## Geometric Construction

Imagine a sheet of paper with two lines drawn on it, as shown in the attachment provided. Without extending the paper or the lines, construct the bisector of the angle determined by the two lines.

2. Hello, MATNTRNG!

Imagine a sheet of paper with two lines drawn on it, as shown.
Without extending the paper or the lines, construct the bisector
of the angle determined by the two lines.
Code:
                                  *
*
*
*  .
*       .
*            . d1
*                 .         L
*                      .    o
A *                           o
o
o
o   o   o   ♠   o   o   o M
o   P       .
o               .
o                   .
. d1
.
.
B *   *   *   *   *   *   *   *   *

Given two nonparallel line segments $\displaystyle A$ and $\displaystyle B$.

Construct line $\displaystyle L$, parallel to $\displaystyle A$ and $\displaystyle d_1$ units from line $\displaystyle A.$

Construct line $\displaystyle M$, parallel to $\displaystyle B$ and $\displaystyle d_1$ units from line $\displaystyle B.$

They intersect at point $\displaystyle P$ which lies on the angle bisector.

Repeat the procedure with distance $\displaystyle d_2$
. . and locate point $\displaystyle Q.$

Draw the line through $\displaystyle P$ and $\displaystyle Q.$

3. You are a genius!