Today's notes finished up our "special segments" in triangles with medians and altitudes. Medians are segments that connect a vertex of a triangle with the midpoint of the opposite side. Every triangle has 3 medians. The medians will always all meet at a single point inside the triangle called the centroid as shown below.
The centroid has two properties:
- It is known as the "balancing" point of the triangle.
- It occurs exactly 2-thirds of the distance from the vertex to the midpoint.
An altitude is the perpendicular segment to a side of the triangle and ending at the opposite vertex. This segment is also known as the height of the triangle. Every triangle has 3 altitudes. The altitudes will always meet at a single point called the orthocenter. This point can occur inside, on, or outside the triangle depending on whether it is acute, right, or obtuse, respectively.
Acute Triangle example:
Obtuse Triangle example:
There is a review session tomorrow morning in room 5207, tomorrow afternoon in room 5202, and Friday morning in room 4303. Students will get their quizzes back tomorrow and a review packet for Friday's test.
No comments:
Post a Comment