How do you bisect a 90-degree angle?

To bisect a 90-degree angle, use a compass and straightedge to create two 45-degree angles.

First, draw the 90-degree angle using a protractor or by constructing a perpendicular line from a given point on a straight line. Label the vertex of the angle as point A, and the points where the angle's arms meet the lines as points B and C.

Next, place the compass point on vertex A and draw an arc that intersects both arms of the angle. Label the points where the arc intersects the arms as points D and E.

Now, without changing the compass width, place the compass point on point D and draw an arc within the angle. Repeat this step with the compass point on point E, ensuring the two arcs intersect. Label the intersection of these arcs as point F.

Finally, use a straightedge to draw a line from point A through point F. This line bisects the 90-degree angle, creating two equal 45-degree angles.