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17 Cards in this Set
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 3rd side (hint)
Triangle Inequality Theorem

a. The third side of any triangle must be a measure in between the sum and the difference of the other two sides.
b. In any triangle, the longest side is opposite the largest angle and the shortest side is opposite the smallest angle. c. The sum of any two sides of a triangle is greater than the third side. 


Locus

all of the points that satisfy a given situation



similar figures

figures are congruent if and only if corresponding angles are congruent and corresponding sides are proportional



ratio

a comparison of two values



proportion

two equal ratios



4in1 theorem

in similar triangles, the corresponding altitudes are in the same ratio as the corresponding SIDES, ANGLE BISECTORS, MEDIANS, AND PERIMETERS



in a right triangle with an altitude drawn to the hypotenuse....

a. the three right triangles similar to eachother.
b. the altitudes is the geometric mean of the two parts of the hypotenuse that it divides. c. the leg is the geometric mean of the hypotenuse and the part of the hypotenuse it is adjacent to. 


corilary theorems

if a2 + b2 = c2 then the triangle is right.
if a2 + b2 < c2 then the triangle is obtuse. if a2 + b2 > c2 then the triangle is acute. 
2 = squared


circumcenter

FORMED BY: perpendicular bisectors
RULE: equidistant to all 3 verticies of a triangle. 


incenter

FORMED BY: angle bisectors
RULE: equidistant to all 3 sides of a triangle. 


centroid

FORMED BY: medians
RULE: the length of the segment from the centroid to the vertex is 2 times the length of the segment from the centroid to the side 


orthocenter

FORMED BY: altitudes
RULE: cevas theorem 


central angle

anangle whos vertex is at the center and its sides are both radii



inscribed angle

an angle whos vertex is on the circle and whos sides are chords



interior angle

an angle whos vertex is an interior point and the angle is formed by the intersection of 2 chords



exterior angle

an angle whos vertex is an exterior point and whos sides are either 2 secants, 2 tangents or a secant and a tangent



in similar figures...

in similar figures, the ratio of the areas = the square of the ratio of the corresponding sides.

