Lesson 6-2 Altitudes and Perpendicular Bisectors

Ohio Content Standards:

Formally define geometric figures.

Ohio Content Standards: Formally define and explain key aspects of geometric figures, including: a. interior and exterior angles of polygons; b. segments related to triangles (median, altitude, midsegment); c. points of concurrency related to triangles (centroid, incenter, orthocenter, and circumcenter); d. circles (radius, diameter, chord, circumference, major arc, minor arc, sector, segment, inscribed angle).

Altitude

A perpendicular segment, in a triangle, with one endpoint at a vertex and the other endpoint on the side opposite that vertex.

Altitude altitude Acute Triangle

Altitude Right Triangle altitude

Altitude Obtuse Triangle altitude

Tell whether each red segment is an altitude of the triangle.

A D CB

G J H F

M L K

Perpendicular Bisector

A perpendicular line or segment that bisects a side of a triangle.

Perpendicular Bisector altitude Perpendicular Bisector

ZX E Y E is the midpoint of XZ. YE is an altitude. The line containing YE is the perpendicular bisector of XZ.

Tell whether each purple segment is a perpendicular bisector of a side of the triangle.

Pgs all, all Assignment: Pgs all, all