5 vocab

Question 1

mid segment

Answer 1

• a segment that connects the midpoint of two sides of a triangle
• mid segment is parallel to the third side of the triangle and 1/2 as long
• double the mid segment equals the third side of the triangle

Question 2

point of concurrency

Answer 2

the point where three or more lines intersect

Question 3

circumcenter

Answer 3

• where the perpendicular bisectors of the three sides of the triangle meet
• the perpendicular bisectors do not originate from the vertices
• is an equal distance from each of the vertices of the triangle
• always appears in the hypotenuse

Question 4

incenter

Answer 4

• the point of concurrency of the angle bisectors of a triangle
• the angle bisectors originate from the vertices
• the incenter is an equal distance from each of the sides of the triangle

Question 5

median

Answer 5

• a segment from the vertex to the midpoint of the opposite side of a triangle
• the medians originate from the vertices
• the median may or may not be perpendicular the opposite side

Question 6

centroid

Answer 6

• the point of concurrency of the three medians of a triangle
• the centroid is two thirds the distance of the whole median as measured from the vertex
• measure of the distance from the centroid to the midpoint of the opposite side is one third the distance of the entire median
• the short part of the median is one half the distance of the long part of the median

Question 7

altitude

Answer 7

• the perpendicular segment from a vertex to the opposite side of the triangle
• the altitudes originate from the vertices
• the altitudes may or may not bisect the opposite side

Question 8

orthocenter

Answer 8

• the orthocenter is the point of concurrency of the three altitudes of a triangle
• in a right triangle, the orthocenter is the vertex forming the right angle