5.1.2 Medians, Altitudes, and Midsegments in Triangles

Question 1

median of a triangle

Answer 1

a segment whose endpoints are a vertex of the triangle and the midpoint of the other side

Question 2

centroid of the triangle

Answer 2

the point of concurrency of the medians of a triangle

Question 3

altitude of a triangle

Answer 3

a perpendicular segment from a vertex to the line containing the opposite side

Question 4

orthocenter of a triangle

Answer 4

the point of concurrency of the altitudes of a triangle

Question 5

midsegment of a triangle

Answer 5

a segment that joins the midpoints of the two sides of the triangle

Question 6

midsegment triangle

Answer 6

every triangle has three midsegments

Question 7

Centroid Theorem

Answer 7

A triangle’s centroid is located 2/3 of the distance from each vertex to the midpoint of the opposite side

Question 8

Triangle Midsegment Theorem

Answer 8

A midsegment of a triangle is parallel to a side of the triangle, and its length is half the length of that side