http://www.ck12.org Chapter 5. Relationships with Triangles
Watch this video for help with the Examples above.
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/52535CK-12 Foundation: Chapter5PerpendicularBisectorsB
Concept Problem Revisited
The center of the circle will be the circumcenter of the triangle formed by the three bones. Construct the perpen-
dicular bisector of at least two sides to find the circumcenter. After locating the circumcenter, the archeologist can
measure the distance from each bone to it, which would be the radius of the circle. This length is approximately 4.7
meters.
Vocabulary
Perpendicular linesare lines that meet at right (90◦) angles. Amidpointis the point on a segment that divides the
segment into two equal parts. Aperpendicular bisectoris a line that intersects a line segment at its midpoint and is
perpendicular to that line segment. When we construct perpendicular bisectors for the sides of a triangle, they meet
in one point. This point is called thecircumcenterof the triangle.
Guided Practice
- Find the value ofx.mis the perpendicular bisector ofAB.
- Determine if
←→
STis the perpendicular bisector ofXY. Explain why or why not.