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Level 617

Properties of Triangles


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Perpendicular Bisector
A segment or Ray the perpendicularly bisects a side of a 🔺
Angle Bisector
A segment or Ray that cuts an < into two ️congruent <'s
Median
A segment or Ray that joins a vertex to the midpoint of the opposite side
altitude
What is the apothem called In a triangle?
Midsegment
The segment that connects two different midpoints within the same triangle
Circumcenter Theorem
The circumcenter of a triangle is equidistant from the vertices of the triangle
Incenter Theorem
The incenter of a triangle is equidistant from the sides of the triangle.
Centroid Theorem
The centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side.
Midsegment theorem
the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side
Equidistant
If a point is on the angle bisector, the distance from the two sides of the angle
acute triangle
A triangle with three acute angles.
Right Triangle
A triangle with one right angle.
Pythagorean Theorem
in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs
Hypotenuse
in a right triangle, the side opposite the right angle
obtuse triangle
A triangle with one obtuse angle.
equiangular triangle
All angles of an acute triangle are equal.
Scalene Triangle
A triangle with no congruent sides
isosceles triangle
Triangle with 2 equal sides and 2 equal angles.
equilateral triangle
Triangle with a 90° angle
circumcenter
The point where three perpendicular bisectors of a triangle intersect
Incenter
The point where three angle bisectors of a triangle intersect
centroid
The point where three medians of a triangle intersect
Orthocenter
The point where the three altitudes of a triangle intersect
altitude of triangle
the perpendicular distance from the vertex of a triangle to the opposite side
base angle
either of the angles of a triangle that have one side in common with the base
Bisector
if a line bisects a line segment, then it intersects it at its midpoint
Exterior Angles
outside angles adjacent to the interior angles when the sides of a triangle are extended
interior angles
inside angles when sides of triangle are extended
Irrational Numbers
any number that cannot be expressed as a fraction.
Legs
in a right triangle, the sides that include the right angle; in an isosceles triangle, the pair of congruent sides
median of a triangle
line that joins the vertex to the midpoint of the opposite side
mid-segment
a line segment joining the midpoints of two sides of a triangle.
Pythagorean Triple
a group of three whole numbers that satisfies the equation a2 +b2 = c2
Rational numbers
Numbers that include integers, wholes, and natural numbers.
vertex angle
the angle in-between the two congruent sides (legs) of the triangle