secondary parts of triangles
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(edited, original ppt by T.Carl)TRANSCRIPT
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