Title: Beat the Computer
1Beat the Computer!
Geometry Vocabulary and Formulas for Unit 1
2- Directions
- A slide will appear with a term
- Say the definition aloud before the computer can
answer (5 sec.) - You will hear a sound when the slide changes
-
3inductive reasoning
4inductive reasoning reasoning based on patterns
you observe
5conjecture
6conjecture a conclusion reached when using
inductive reasoning
7counterexample
8counterexample an example for which a conjecture
is false
Conjecture All integers are natural
numbers. Counterexample -1
9point
10point a location in space having no size
P
11space
12space the set of all points
13line
14line a series of points that extends in two
opposite directions without end
t
P
Q
line t or
or
15collinear points
16collinear points points that lie on the same line
17plane
18plane a flat surface that has no thickness
19coplanar
20coplanar points and lines that lie in the same
plane
21postulate or axiom
22postulate or axiom a statement that is accepted
as true without proof
Example Through any two points there is exactly
one line.
23segment
24segment the part of a line consisting of two
endpoints and all the points between them
25ray
26ray the part of a line consisting of two
endpoints and all the points between them
Ray YX
Y
X
endpoint
27opposite rays
28opposite rays two collinear rays with the same
endpoint
X
S
R
29parallel lines
30parallel lines coplanar lines that do not
intersect
31skew lines
32skew lines lines that do not lie in the same
plane
33parallel planes
34parallel planes planes that do not intersect
Plane ABCD is parallel to Plane EFGH
35congruent (?) segments
36congruent segments segments with the same length
37midpoint of a segment
38midpoint of a segment a point that divides a
segment into two congruent segments
39angle
40angle two rays with the same endpoint
41acute angle
42acute angle an angle whose measure is between 0º
and 90º
43right angle
44right angle an angle whose measure is exactly 90º
45obtuse angle
46obtuse angle an angle whose measure is between
90º and 180º
47straight angle
48straight angle an angle whose measure is exactly
180º
49congruent angles
50congruent angles angles with the same measure
51perpendicular lines
52perpendicular lines two lines that intersect to
form right angles
53perpendicular bisector of a segment
54perpendicular bisector of a segment a line,
segment, or ray that is ? to the segment at its
midpoint, thereby bisecting the segment into two
? segments
55angle bisector
56angle bisector a ray that divides an angle into
two congruent coplanar angles
57distance formula
58distance formula the distance d between two
points A(x1,x2) and B(y1,y2)
59midpoint formula
60midpoint formula the coordinates of the midpoint
M of AB with endpoints A(x1,x2) and B(y1,y2) are