Page 216 - ABCTE Study Guide_Neat

Draw any line through point P, intersecting line k. Call the intersection
2. point Q. Now we’ll construct an angle with vertex P, congruent to the
angle of intersection.

Center the compass at point Q and draw an arc intersecting both lines.
3. Without changing the radius of the compass, center it at pointP and draw
another arc.

Set the compass radius to the distance between the two intersection
4. points of the first arc. Now center the compass at the point where the
second arc intersects line PQ. Mark the arc intersection point R.

5. Line PR is parallel to line k.

How would you construct a triangle from three given line segments?

1. Begin with the givens, segments BC, AC, and AB.

2. Draw a segment AX longer than any of the given segments.

Set the compass radius to the length of segment AB, the longest
3. segment. Center the compass at point A and draw an arc that
intersects segment AX. Mark the intersection point B.