Index
30-60-90 triangle, 190, 233
36-72-72 triangle, 226
360 theorem, 96, 97
45-45-90 triangle, 190, 233
60-60-60 triangle, 189
AA congruence theorem for asymptotic
triangles, 353
AA similarity theorem, 216
AAA congruence theorem in hyperbolic
geometry, 338
AAA construction theorem, 191
AAASA congruence, 197, 354
AAS congruence theorem, 119
AASAS congruence, 179
ABCD property of rigid motions, 441
absolute value, 434
acute angle, 88
acute triangle, 105
adapted coordinate function, 72
adjacency lemma, 98
adjacent angles, 90, 91
adjacent edges of a polygon, 156
adjacent interior angle, 113
admissible decomposition, 201
algebraic number, 317
all-or-nothing theorem, 333
alternate interior angles, 150
alternate interior angles postulate, 323
alternate interior angles theorem, 150
converse, 185, 323
altitude concurrence theorem, 269
altitude of a triangle, 144, 208
intersects interior of a side, 144
to the base of an isosceles triangle, 145
to the hypotenuse, 144
to the longest side, 144
Amtrak model, 29
and (logical conjunction), 385
angle, 83
acute, 88
included between two sides, 104
inscribed in a semicircle, 257
inscribed in an arc, 257
obtuse, 88
of a polygon, 156
of a triangle, 103
of an asymptotic triangle, 351
on a side of a line, 149
opposite a side, 104
proper, 84
right, 88
straight, 84
zero, 84
angle addition theorem, 90
angle bisector, 100, 147
angle bisector concurrence theorem, 268
angle bisector proportion theorem, 219
angle bisector theorem, 147
converse, 149
angle construction theorem, 88
angle criterion for convexity, 160
angle measure, 54, 85
between two lines, 357
in taxicab geometry, 138
in the Cartesian plane, 125
455
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