Lesson 6-2Lesson 6-2Altitudes and Altitudes and Perpendicular Perpendicular BisectorsBisectors

Ohio Content Standards:

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

AltitudeA 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.

Tell whether each red segment is an altitude of the

triangle.A

DCB

Tell whether each red segment is an altitude of the

triangle.

G

J

H

F

Tell whether each red segment is an altitude of the

triangle.

ML

K

Perpendicular Bisector

Perpendicular Bisector

A perpendicular line or segment that bisects a side

of a triangle.

Perpendicular Bisector

altitude Perpendicular Bisector

Perpendicular Bisector

ZXE

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.

Tell whether each purple segment is a

perpendicular bisector of a side of

the triangle.

Tell whether each purple segment is a

perpendicular bisector of a side of

the triangle.

Assignment:

Pgs. 238-239 Pgs. 238-239 8-18 all, 8-18 all, 24-26 all24-26 all