11.4 Corresponding Parts of Similar Triangles.notebook
11.4 Corresponding Parts of Similar Triangles
May 17, 2017
Proportional Parts Conjecture
If two triangles are similar, then the lengths of the corresponding altitudes, medians, and angle bisectors are proportional to the lengths of the corresponding sides.
Do you remember what all those terms are?
Altitudes of a Triangle ­ Perpendicular segment from a vertex to the opposite side or to a line containing the opposite side
Angle Bisector/Opposite Side Conjecture
Median ­ segment connecting the vertex of a triangle to the midpoint of its opposite side
A bisector of an angle in a triangle divides the opposite side into two segments whose lengths are in the same ratio as the lengths of the two sides forming the angle.
Angle Bisector Conjecture ­ If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.