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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