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Level 104

Isosceles Triangle Theorem


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Isosceles (triangle)
has (at least) two sides of equal length.
Apex
The Highest Point
Base angles
are equal.
meets the base at right angles and bisects the apex angle.
Median (The line joining the apex to the midpoint of the base)
Legs
in a right triangle, the sides that include the right angle; in an isosceles triangle, the pair of congruent sides
Base
the number that is written with an exponent
vertex angle
the angle in-between the two congruent sides (legs) of the triangle
Isosceles Triangle Theorem
If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent
Converse of the Isosceles Triangle Theorem
If 2 angles of a triangle are congruent, then the sides opposite those angles are congruent.
Corollary to the Isosceles Triangle Theorem
If a triangle is equilateral, then the triangle is equiangular.
Corollary to the Converse of the Isosceles Triangle Theorem
If a triangle is equiangular, then the triangle is equilateral.
sin(45)
(2^1/2)/2
sin(1/4)
(2^1/2)/2
cos(45)
(2^1/2)/2
cos(1/4)
(2^1/2)/2
tan(45)
1
tan(1/4)
1
csc(45)
(2^1/2)
csc(1/4)
(2^1/2)
sec(45)
(2^1/2)
sec(1/4)
(2^1/2)
cot(45)
1
cot(1/4)
1
vertex
The point where two sides meet. (Shared end points of the line segments of a polygon.)
Median
A segment or Ray that joins a vertex to the midpoint of the opposite side
Angle Bisector
A segment or Ray that cuts an < into two ️congruent <'s
altitude
What is the apothem called In a triangle?
Perpendicular Bisector
A segment or Ray the perpendicularly bisects a side of a 🔺
How many medians does triangle have?
3-one from each vertex to midpoint
How many angle bisectors does triangle have?
3-one for each of the three anglea
3-for it's sides
How many perp Bisectors does triangle have?