Points of Concurrency Flashcards
What is the point of concurrency for the following?
Angle Bisectors of a Triangle.
Incenter.
What is the point of concurrency for the following?
Medians of a Triangle.
Centroid.
What is the point of concurrency for the following?
Altitudes of a Triangle.
Orthocenter.
What is the point of concurrency for the following?
Perpendicular Bisectors of a Triangle.
Circumcenter.
Fill in the blank:
The INCENTER of a triangle is equidistant from the _____ of the triangle.
Sides.
Fill in the blank:
The CIRCUMCENTER of a triangle is equidistant from the ________ of the triangle.
Vertices.
Fill in the blank:
The CENTROID is ___ of the distance from each vertex to the midpoint of the opposite side.
2/3.
Fill in the blank:
To INSCRIBE a circle in a triangle, you use the ________.
Incenter.
Fill in the blank:
To CIRCUMSCRIBE a circle about a triangle, you use the ___________.
Circumcenter.
Is the point of concurrency inside, outside, or on the triangle?
Circumcenter of an acute triangle.
Inside.
Is the point of concurrency inside, outside, or on the triangle?
Circumcenter of an obtuse triangle.
Outside.
Is the point of concurrency inside, outside, or on the triangle?
Circumcenter of a right triangle.
On midpoint of hypotenuse.
Is the point of concurrency inside, outside, or on the triangle?
Incenter of an acute triangle.
Inside.
Is the point of concurrency inside, outside, or on the triangle?
Incenter of an obtuse triangle.
Inside.
Is the point of concurrency inside, outside, or on the triangle?
Incenter of a right triangle.
Inside.
Is the point of concurrency inside, outside, or on the triangle?
Centroid of an acute triangle.
Inside.
Is the point of concurrency inside, outside, or on the triangle?
Centroid of an obtuse triangle.
Inside.
Is the point of concurrency inside, outside, or on the triangle?
Centroid of a right triangle.
Inside.
Is the point of concurrency inside, outside, or on the triangle?
Orthocenter of an acute triangle.
Inside.
Is the point of concurrency inside, outside, or on the triangle?
Orthocenter of an obtuse triangle.
Outside.
Is the point of concurrency inside, outside, or on the triangle?
Orthocenter of a right triangle.
On the vertex of the right angle.
How do you find the circumcenter of a triangle?
Draw the perpendicular bisector of any two sides of the given triangle. The point where they intersect is the circumcenter
How do you find the incenter of a triangle?
Draw angle bisectors for all three angles, and the point at which they intersect is the incenter.
How do you find the centroid of a triangle?
To locate the centroid, draw each of the three medians (which connect the vertices of the triangle to the midpoints of the opposite sides). The point at which all three medians intersect is the centroid. The centroid is also the balancing point of the triangle.
