Bellwork 1)If, what is ? 2)If, what is ? 3)If, what is ? What is x?

Lesson 5.4 Use Medians and Altitudes

Objective Use medians and altitudes of triangles

Standard Prep for 12.0

Academic Language Median of a triangle Centroid Altitude of a triangle orthocenter

Incenter Define and draw the incenter of a triangle for an obtuse triangle. Where is the incenter, where is the incenter on a right triangle, where is the incenter of an acute triangle?

Median of a triangle A segment from a vertex to the midpoint of the opposite side.

Centroid Point of concurrency of the medians of a triangle Find the median for an acute triangle, obtuse triangle, and right triangle

Concurrency of a Triangle

Example

Altitudes of a Triangle Altitude of a triangle is the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side.

Concurrency of altitudes of a triangle

Orthocenter Practice Find it for acute, right, and obtuse triangles by drawing the figures

Homework p.322 #1, 2, 5, 7, 9, 11, 17, 21, 25