Tags & Description
Circumcenter
the point of concurrency of the three perpendicular bisectors of a triangle
Incenter
the point of concurrency of the three angle bisectors of a triangle
Orthocenter
The point of concurrency of the altitudes of a triangle
Centriod
The point of concurrency of the medians of a triangle
The Euler Line
a segment passing through the circumcenter, centroid, and orthocenter of a triangle
Perpendicular Bisector
A line that is perpendicular to a segment at its midpoint.
Angle Bisector
a ray that divides an angle into two congruent angles
altitute
the perpendicular segment from a vertex of the triangle to the line containing the opposite side
Median
a segment whose endpoints are a vertex and the midpoint of the opposite side
concurrent
three or more lines that intersect at one point
center of gravity
Another term for centroid of a triangle
inscribed circle
a circle that is inside the triangle. Made by using the incenter.
circumscribed circle
a circle that is outside the triangle. Made by using the circumcenter.
Incenter Conjecture
The incenter of a triangle is equidistant from the sides of the triangle.
Circumcenter Conjecture
The circumcenter of a triangle is equidistant from the vertices of the triangle.
Angle Bisector Conjecture
If a point is on the bisector of an angle, then it is equidistant from the sides of the angle
compass
A tool used to construct circles and arcs.
protractor
A tool used to measure and draw angles.
Straightedge
a ruler with no markings on it
Ruler
A straight tool used to measure small distances
Triangle Sum Conjecture
The sum of the measures of the angles in every triangle is 180°.
Third Angle Conjecture
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent
Isosceles Triangle Conjecture
If a triangle is isosceles, then its base angles are congruent.
Converse of isosceles triangle conjecture
If two angles in a triangle are congruent, then it is isosceles.
Triangle Inequality Conjecture
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Side-Angle Inequality Conjecture
In a triangle, if one side is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.
Triangle Exterior Angle Conjecture
The measure of an exterior angle of a triangle is equal to the sum of the measures of the non-adjacent interior angles.
SSS Congruence Conjecture (Side-Side-Side)
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
SAS Congruence Conjecture (Side-Angle-Side)
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.