 Shuffle Toggle OnToggle Off
 Alphabetize Toggle OnToggle Off
 Front First Toggle OnToggle Off
 Both Sides Toggle OnToggle Off
 Read Toggle OnToggle Off
Reading...
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
Play button
Play button
22 Cards in this Set
 Front
 Back
perpendicular bisector

…of a side of a triangle is a line, segment, or ray that passes through the midpoint of the side and is perpendicular to that side.
Property: Any point on a perpendicular bisector is equidistant from two vertices 

concurrent lines

three or more lines intersecting at a common point


point of concurrency

the point of intersection of concurrent lines


circumcenter

the point of concurrency of the perpendicular bisectors of a triangle


Circumcenter Theorem

The circumcenter of a triangle is equidistant from the vertices of the triangles.


angle bisectors

Property:
Any point on the angle bisector is equidistant from the sides of the triangle. 

incenter

the point of concurrency of the angle bisectors of a triangle


Incenter Theorem

The incenter of a triangle is equidistant from each side of the triangle.


median

segment whose endpoints are a vertex of a triangle and the midpoint of the side opposite it


centroid

the point of concurrency of the medians of a triangle


Centroid Theorem

The centroid of a triangle is located two thirds of the distance from a vertex to the midpoint of the side opposite the vertex on a median.


altitude

...of a triangle is a segment from a vertex through the line containing the opposite side and is perpendicular to that side


orthocenter

the point of concurrency of the altitudes of the triangle


Exterior Angle Inequality Theorem

If an angle is an exterior angle of a triangle, then its measure is greater than the measure of either of its remote interior angles.


If one side of a triangle is longer than another side, then…

...the angle opposite the longer side has a greater measure than the angle opposite the shorter side


If one angle of a triangle has a greater measure than another angle, then…

...the side opposite the greater angle is longer than the side opposite the smaller angle.


Triangle Inequality Theorem

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.


shortest distance from a point
to a line is… 


shortest distance from a point
to a plane is… 


SAS Inequality Theorem
(Hinge Theorem) 


SSS Inequality Theorem




