Embed Size (px)
Citation preview
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
