MT 5 Geometry Flashcards
What do the medians form where they intersect?
centroid
What do the altitudes form where they intersect?
orthocenter
What do the perpendicular bisectors form when they intersect?
circumcenter
What do the angle bisectors form where they intersect?
incenter
Which point of concurrency is equidistant from each vertex?
circumcenter
What forms a circumcenter?
perpendicular bisectors
Which point of concurrency is equidistant distant from each side of the triangle?
incenter
What forms an incenter?
angle bisectors
Which point of concurrency is two thirds the distance from each vertex to the midpoint of the opposite side?
centroid
What forms a centroid?
medians
How can you find the centroid algebraically?
Find the average of all the x values then the average of all the y values
What point of concurrency will you get by finding the average of both the y and the x values?
centroid
How can you tell by side lengths if a triangle can be formed?
The two smallest sides need to be greater than the largest one when they’re added together
Is it possible to make a triangle with side lengths of 20, 30, and 50?
NO
Is it possible to make a triangle with side lengths of 7, 8, and 30
NO