secondary parts of triangles

SECONDARY PARTSOF A TRIANGLE

E-Math pp.132-136

Can YOU do this?

Figure 1• Draw a circle. Then draw a

triangle inside it whose vertices are on the circle.

Figure 2• Draw a circle. Then draw a

triangle outside it, making sure the circle is touching the triangle.

How about THIS?

Figure 3• Draw the figure in the

right, this time drawing the triangle first.

Figure 4• Draw the figure in the

right, this time drawing the triangle first.

Secondary Parts of a Triangle:

• Angle Bisectors• Perpendicular Bisectors• Medians• Altitudes

Angle Bisector

• a segment that bisects an angle of the triangle; endpoints are a vertex and a point on opposite side

Perpendicular Bisector

• a line that passes through the midpoint of a side of the triangle, and is perpendicular to it

Median

• a segment connecting a vertex of a triangle and the midpoint of the opposite side

Altitude

• a segment from the vertex of the triangle perpendicular to the line containing the opposite side

Points of Concurrency

• Angle Bisectors INCENTER• Perpendicular Bisectors CIRCUMCENTER• Medians CENTROID• Altitudes ORTHOCENTER