Final answer:
To construct the bisector of angle BAC using only a ruler and compasses, draw arcs and line segments to find the point where they intersect.
Step-by-step explanation:
To construct the bisector of angle BAC using only a ruler and compasses, follow these steps:
- Draw a line segment AB and place the compass point at A.
- With any radius greater than half the length of AB, draw arcs that intersect AB at points C and D.
- Place the compass point at C and D successively to draw arcs that intersect each other at point E.
- Draw the line segment AE. This line is the bisector of angle BAC.
Make sure to draw all construction lines step by step to show your process.