Download Definition: a segment that connects a vertex of a triangle to the

Geometry Chapter 1
1.06: Compasses, Angles, and Circles
Diagram:
Name ________________________
Perpendicular Bisector Theorem
Theorem: If a point is on the perpendicular bisector of a segment,
then it is equidistant from the 2 endpoints of the segment.
Converse: If a point is equidistant from the 2 end points of a
segment, then the point lies on its perpendicular bisector.
Task #1: Construct the three medians of the triangle.
Median
Diagram:
Definition: a segment that connects a vertex of a
triangle to the midpoint of the opposite side
Task #2: Construct the three midlines of the triangle.
Midline
Diagram:
Definition: a segment that connects the midpoints of 2
sides of a triangle
Task #3: Construct the three angle bisectors of the triangle.
Angle Bisector
Diagram:
Definition: line that divides an angle into 2 congruent
(equal) angles.
Q: After your construction, what do you notice about
these lines and their opposite sides?
Task #4: Construct the three altitudes of the triangle.
Altitude
Diagram:
Definition: perpendicular segment from a vertex of a
triangle to a line that CONTAINS the opposite side
Q: How do we construct the altitude from the vertex on the
top?!