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Level 113

Parts of Triangles


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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.