Page 213 - ABCTE Study Guide_Neat

1. Begin with line segment XY.

Place the compass at point X. Adjust the compass radius so that it
2.
is more than half of XY. Draw two arcs as shown here.

Without changing the compass radius, place the compass on
3. point Y. Draw two arcs intersecting the previously drawn arcs. Label
the intersection points A and B.

Using the straight edge, draw line AB. Label the intersection
4. point M. Point M is the midpoint of line segment XY, and lineAB is
perpendicular to line segment XY.

Given a point on a line, how would you construct a line perpendicular to the given line that passes through the
given point?

1. Begin with a given line k that contains point P.

Place the compass on point P. Using any radius, draw arcs
2.
intersecting line k at two points. Label the intersection points Xand Y.

Place the compass at point X. Adjust the compass radius so that it is
3.
more than half of XY. Draw an arc as shown here.

Without changing the compass radius, place the compass on point Y.
4. Draw an arc intersecting the previously drawn arc. Label the
intersection point A.