1.
acute: less than 90 degrees but greater than 0 degrees
2.
acute: has three acute angles
3.
addition property of equality: if a=b, then a+c=b+c
4.
adjacent angles: two angles that share a common vertex, but no interior point
5.
alternate exterior angle theorem: if two parallel lines are cut by a transversal, then all alternate exterior angles are congruent
6.
alternate exterior angles: opposite sides of transversal, outside the two lines
7.
alternate interior angle theorem: if two parallel lines are cut by a transversal, then all alternate interior angles are congruent
8.
alternate interior angles: opposite sides of transversal, between the two lines
9.
angle: two rays that share the same end point
10.
angle addition postulate: if C is in the interior of angle ABD, then ABC+CBD=ABD
11.
angle bisector: a ray that divides one angle into two congruent angles
12.
area: amount inside the object
13.
area of a circle: A=πr²
14.
area of a rectangle: A=bh
15.
area of a square: A=s²
16.
biconditional: when both the conditional and its converse are true, then it can be written with "if and only if"; p if and only if q
17.
circles: all points equal distance from a fixed point
18.
circumference of a circle: C=πd or C=2πr
19.
collinear: points that lie on the same line
20.
complementary angles: sum of two angles is equal to 90 degrees
21.
concave: at least one extended side falls within the polygon
22.
conditional: p implies q; if p, then q; q only if p
23.
congruent: having the same measurement
24.
congruent complement theorem: two angles that are complementary to the same angle or congruent angles are congruent
25.
congruent supplement theorem: two angles that are supplementary to the same angle or congruent angles are congruent
26.
conjecture: educated guess (similar to hypothesis)
27.
converse of the alternate interior angle theorem: if two lines are cut by a transversal such that alternate interior angles are congruent, then two lines are parallel
28.
converse of the corresponding angle postulate: if two lines are cut by a transversal such that corresponding angles are congruent, then two lines are parallel
29.
converse of the same-sided exterior angle theorem: if two lines are cut by a transversal such that same-sided exterior angles are supplementary, then two lines are parallel
30.
converse of the same-sided interior angle theorem: if two lines are cut by a transversal such that same-sided interior angles are supplementary, then two lines are parallel
31.
converse of the same-sided interior angle theorem: if two lines are cut by a transversal such that alternate exterior angles are congruent, then two lines are parallel
32.
converse statement: q implies p
33.
convex: extended side of the polygon is outside the polygon
34.
coplanar: lies on the same plane
35.
corresponding angle postulate: if two parallel lines are cut by a transversal, then all corresponding angles are congruent
36.
corresponding angles: share the same position on the line in relationship to the transversal
37.
counterexample: something that makes a conjecture false
38.
deductive reasoning: based upon logic- use known information (definitions, postulates, theorems, properties)
39.
diameter: goes through the center and has two endpoints on the circle (d)
40.
dilation: a figure is enlarged or reduced
41.
distributive property of equality: if a(b+c), then ab+ac
42.
division property of equality: if a=b, then a/c=b/c if c is not equal to 0
43.
equilateral: three sides are congruent
44.
exterior angle: forms a linear pair with one interior angle
45.
inductive reasoning: pattern that is observed
46.
isoceles: at least two sides are congruent
47.
isometry: pre-image and image are congruent
48.
law of detachment: p implies q, p; conclusion q
49.
law of syllogism: p implies q, q implies r; conclude p implies r
50.
line: goes on forever in two directions, named by any two points on it w/ an arrow over top or lowercase cursive letter
51.
line segment: a portion of a line with two definite end points, named by the two endpoints with a segment over them
52.
linear: a line
53.
linear pair: two adjacent angles whose unshared sides form opposite rays
54.
linear pair postulate: if two angles form a linear pair, they are supplementary
55.
midpoint: point that divides a segment into two congruent segments
56.
multiplication property of equality: if a=b, then ac=bc
57.
noncollinear: three or more points not on the same line
58.
noncoplanar: do not lie on the same plane
59.
obtuse: greater than 90 degrees but less than 180 degrees
60.
obtuse: has one obtuse angle
61.
opposite rays: two rays with the same endpoint along the same line going in opposite directions
62.
parallel lines: two lines that are coplanar and do not intersect
63.
perimeter: the distance around an object
64.
perimeter of a rectangle: P=2b+2h
65.
perimeter of a square: P=4s
66.
perpendicular: when two lines intersect to form right angles
67.
plane: (undefined) represented by shapes, formed by 3 noncollinear points; named by 3 noncollinear points
68.
polygon: a closed plane figure with at least three sides that are segments
69.
postulate: a statement that is accepted as true
70.
pythagorean theorem: in a right triangle, the sqare of the hypotenuse is equal to the sum of the squares of the sides
71.
radius: connects the center to the circle (r)
72.
ray: a portion of a line that has one definite end point and all the points beyond it
73.
rectangles: both sets of opposite sides are congruent, 4 right angles
74.
reflection: a figure is flipped over a line
75.
reflexive property of congruence: a≅a
76.
reflexive property of equality: a=a
77.
regular polygon: both equilateral and equiangular
78.
remote interior angles: angles that are opposite the exterior angle
79.
right: 90 degree angle
80.
right: has one right angle, two acute angles
81.
right angle congruence theorem: all right angles are congruent
82.
rotation: a figure is turned around a point
83.
same-sided exterior angle theorem: if two parallel lines are cut by a transversal, then all same-sided exterior angles are supplementary
84.
same-sided exterior angles: same side of transversal, outside the two lines
85.
same-sided interior angle theorem: if two parallel lines are cut by a transversal, then all same-sided interior angles are supplementary
86.
same-sided interior angles: same side of transversal, between the two lines
87.
scalene: no sides are congruent
88.
segment addition postulate: if there are three collinear points, A, B, and C, where C is between A and B, then AC+CB=AB
89.
segment bisector: how to find a midpoint
90.
skewline: two lines that are noncoplanar and do not intersect
91.
squares: all four sides are congruent, four right angles
92.
straight angle: 180 degrees
93.
substitution property of equality: if a=c and b=c, then a=b
94.
subtraction property of equality: if a=b, then a-c=b-c
95.
sum of the exterior angles of any polygon: 360 degrees
96.
sum of the interior angles of a polygon: (n-2)180
97.
supplementary angles: sum of two angles is equal to 180 degrees
98.
symmetric property of congruence: if a≅b, then b≅a
99.
symmetric property of equality: if a=b, then b=a
100.
theorem: a statement that can be proven true using definitions, properties, postulates, and theorems
101.
transformations: movements of geometric figures
102.
transitive property of congruence: if a≅b and b≅c, then a≅c
103.
transitive property of equality: if a=b and b=c, then a=c
104.
translation: a figure is slid horizontally, vertically, or both
105.
transversal: line that intersects two or more angles
106.
triangle: a three-sided polygon
107.
triangle exterior angle sum theorem: an exterior angle equals the sum of the two remote interior angles
108.
triangle sum theorem: the sum of the interior angles of a triangle equal 180 degrees
109.
vertical angles: two angles who have a common vertex and whose sides form opposite rays
