Chapter 6 Flashcards
what is the midsegment of a triangle?
a segment that connects the midpoint of two sides of the triangle.
how many midsegments does a triangle have?
three
what is theorem 6.8?
midsegment theorem
what does the midsegment theorem say?
the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as the third side.
what is the median of a triangle?
a segment from a vertex to the midpoint of the opposite side.
what is the point of concurrent?
where three or more lines, rays, or segments intersect.
what is the centroid?
where three medians of the triangle intersect.
what is theorem 6.7?
centroid theorem
what does the centroid theorem say?
the centroid of a triangle is two-thirds of the distance from each vertex to the midpoint of the opposite side.
what is the altitude of a triangle?
the perpendicular segment from a vertex to the opposite side, or the line that contains the opposite site.
what is the orthocenter?
the point of concurrency
where can the orthocenter be?
inside, outside, or even on the triangle.
what does theorem 6.9 and 6.10 say?
in a triangle, the longest side is across from the largest angle, and the shortest side is across from the smallest angle.
what is theorem 6.11?
triangle inequality theorem
what does the triangle inequality theorem say?
the sum of the lengths of any two sides of a triangle is greater than the lengths of the third side.
