Section 2 - Triangle Terminology
MEDIAN - a special segment that connects a vertex of a triangle to the midpoint of the opposite side. Every triangle has three medians.
ALTITUDE - a segment that is perpendicular to a side of a triangle, and it intersects with the vertex opposite that side. Most altitudes rise from the base and their length is also the height of the triangle, but any side can have an altitude.
ANGLE BISECTOR - a special segment of a triangle that bisects an angle of the triangle and then intersects the opposite side of the triangle.
PERPENDICULAR BISECTORS - a line or segment that passes through the midpoint of a side of a triangle and is also perpendicular to that side. Perpendicular bisectors do not always pass through the opposite vertex.
Theorems and Postulates
Draw an example of the following -
1) Triangle RST with median SN
2) Triangle ABC with altitude BD
3) Triangle XYZ with angle bisector WZ
For numbers 4 - 6 determine if triangle ABC is congruent to triangle XYZ and justify your answers
4) AB = XY and angle B = angle Y
5) YZ = BC and XZ = AC
6) AB = XY and YZ = BC
7) Given: angles Q and S are right angles and angle 1 = angle 2
Prove: triangle PQR is congruent to triangle RSP
8) Given: AC _|_ BE , CE_|_ AB , angle BAE = angle DEA
Prove: BE = AD
9) Given: BA = AD and AC = DF
Prove: angle C = angle F
Back to Lessons Menu
Back to Home Page