Triangle Centers Flashcards
(25 cards)
Name the center created by the intersection of the perpendicular bisectors of the sides of the triangle?
Circumcenter
A Circumcenter is equidistant from what?
The vertices
The circumcenter is the center of what?
The center of the vertices
Name the center of a triangle created by the intersection of the angle bisectors.
Incenter
An incenter is the center of what?
The sides of the triangle
The incenter is equidistant from what parts of a triangle.
The sides (legs)
What is a Median?
A line drawn from a vertex to the midpoint of the opposite side.
What center is created by the intersection of the medians
Centroid
The centroid is the center of what?
Gravity
What is the ratio of the length of line segment from the vertex to the Centroid to the length of the line segment from the centroid to the corresponding side?
2 to 1 The long line is two times as long as the short line.
What is the ratio of the length of line segment from the vertex to the Centroid to the length of the entire median?
It is 2/3 the length of the median
How is an Orthocenter created?
It is the intersection of the altitudes of a triangle.
Where is the circumcenter on a right triangle?
On the hypotenuse
Where is the circumcenter on an acute triangle?
Inside the triangle
Where is the circumcenter on an obtuse triangle?
On the outside of the triangle
What type of center is always found within a triangle?
An incenter and a centroid
What types of centers can be found on the exterior of their triangles?
The circumcenter and the orthocenter of obtuse triangles.
By looking at a figure, how can you identify a perpendicular?
The intersection of the segments creates a 90 degree angle and is shown by a small box at the point of intersection.
How can you identify congruent segments on a figure?
“tic” marks on congruent segments
What is a perpendicular bisector?
A line which intersects a line segment at 90 degrees creating a right angle and cuts the segment into two identical length segments.
How can you identify congruent angles?
“arc marks” on the angles
What does the angle bisector do?
Divides an angle into 2 congruent angles.
What does the term “congruent”mean?
Two or more items are identical
and have the same numerical measurement.
Name the 4 types of centers a triangle can have.
Incenter
Circumcenter
Orthocenter
Centroid
