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Concurrent

Three or more lines that intersect at the same point

Equidistant

If a point is on the angle bisector, the distance from the two sides of the angle

Perpendicular Bisector

A segment or Ray the perpendicularly bisects a side of a 🔺

Acute

Classifying by ANGLES

Right

a positive exponent means the original decimal needs to move to the _______________________

Obtuse

One angle is GREATER than 90

Angle Bisector

A segment or Ray that cuts an < into two ️congruent <'s

circumcenter

The point where three perpendicular bisectors of a triangle intersect

vertices

The perpendicular bisectors of a triangle intersect at a point that is equidistant from "these" of the triangle

altitude

What is the apothem called In a triangle?

Orthocenter

The point where the three altitudes of a triangle intersect

Incenter

The point where three angle bisectors of a triangle intersect

Median

A segment or Ray that joins a vertex to the midpoint of the opposite side

centroid

The point where three medians of a triangle intersect

Midsegment

The segment that connects two different midpoints within the same triangle

Sides

The angle bisectors of a triangle intersect at a point that is equidistant from all of "these" of the triangle

equilateral triangle

Triangle with a 90° angle

isosceles triangle

Triangle with 2 equal sides and 2 equal angles.

Scalene Triangle

A triangle with no congruent sides

acute triangle

A triangle with three acute angles.

equiangular triangle

All angles of an acute triangle are equal.

Right Triangle

A triangle with one right angle.

obtuse triangle

A triangle with one obtuse angle.

adjacent sides

sides of a triangle that share a vertex

Hypotenuse

in a right triangle, the side opposite the right angle

Base

the number that is written with an exponent

interior angles

inside angles when sides of triangle are extended

Exterior Angles

outside angles adjacent to the interior angles when the sides of a triangle are extended

Triangle Sum Theorem

angles add up to 180°

Exterior angle theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

Third Angles Theorem

If 2 angles of one triangle are congruent to 2 angles of another then the third angles are also congruent

Base Angles Theorem

If 2 sides of a triangle are congruent then the angles opposite are congruent (used with isosceles)

Converse of the Base Angles Theorem

If 2 angles of a triangle are congruent then the sides opposite are congruent (used with isosceles)

Perpendicular Bisector Theorem

if the perpendicular bisector goes through a vertex of a triangle the legs will be congruent

Distance

the length of the perpendicular line between a point and a line.

longest side

always opposite the largest angle

shortest side

always opposite the smallest angle

Triangle Inequality

The sum of any 2 sides is > the third side (used to determine if 3 lengths can form a triangle OR to find the possible lengths of a 3rd side)

concurrent lines

when three or more lines intersect (point of concurrency)

Congruent

A plane figure with the same size and shape.

bisect

To divide into two equal parts

Linear pair

A pair of adjacent angles whose non-common sides are opposite rays.

Supplementary

Angles that add to 180 degrees.

Complementary

Two angles whose sum is 90 degrees.

vertical angle

pair of opposite congruent (equal) angles formed by intersecting lines

Scalene

All sides are different lengths.

Isosceles

two sides have the same length

equilateral

all sides have the same length

polygon

a closed figure made by joining line segments where each line segment intersects exactly 2 others

Acute triangles

A triangle with all angles measuring less than 90 degrees.

Obtuse triangles

A triangle with all angles measuring more than 180 degrees.