Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and...

transcript

Chris Giovanello, LBUSD Math Curriculum Office, 2004

Beat the Computer!Geometry

Vocabulary and

Formulas for Unit 1

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

inductive reasoning

inductive reasoning:

reasoning based on patterns you

observeUsing the pattern, what is the next term in the sequence?

conjecture

conjecture:

a conclusion reached when using inductive reasoning

“Based on the pattern, I think the answer is…”

counterexample

counterexample:

an example for which a conjecture

is falseConjecture: All integers are natural numbers.

Counterexample: -1

point:

a location in space having no size

space:

the set of all points

a series of points that extends in two

opposite directions without endP

line t or PQ or QP

collinear points

collinear points:

points that lie on the same line

collinear non-collinear

plane:

a flat surface that has no thickness

Plane P

Plane ABC

coplanar

coplanar:

points and lines that lie in the same plane

coplanar

Y Line l

Line m

non-coplanarLi

Line m

postulateor

postulate or axiom:

a statement that is accepted as true

without proof

Example: Through any two points there is exactly one line.

segment

segment:

the part of a line consisting of two

endpoints and all the points between them

A Bendpoint endpoint

Segment AB

the part of a line consisting of two

endpoints and all the points between them

X Y endpoint

Ray YX

opposite rays

opposite rays:

two collinear rays with the same endpoint

and are opposite raysRQ RS

parallel lines

parallel lines:

coplanar lines that do not intersect

skew lines

skew lines:

lines that do not lie in the same plane

parallel planes

parallel planes:

planes that do not intersect

Plane ABCD is parallel to Plane

congruent () segments

congruent segments:

segments with the same length

AB = CD

midpoint of a segment

midpoint of a segment:

a point that divides a segment into two

congruent segments

angle:

two rays with the same endpoint

vertex

acute angle

acute angle:

an angle whose measure is between 0º

and 90º

right angle

right angle:

an angle whose measure is exactly 90º

obtuse angle

obtuse angle:

an angle whose measure is between

90º and 180º

straight angle

straight angle:

an angle whose measure is exactly

congruent angles

congruent angles:

angles with the same measure

perpendicular lines

perpendicular lines:

two lines that intersect to form right angles

perpendicular bisector of a

segment

perpendicular bisector of a segment:

a line, segment, or ray that is to the segment at its midpoint, thereby bisecting the segment

into two segments

angle bisector

angle bisector:

a ray that divides an angle into two congruent

coplanar angles

distance formula

distance formula:

the distance d between two points A(x1,x2) and

B(y1,y2):2

12 )()( yyxxd

midpoint formula

midpoint formula:

the coordinates of the midpoint M of AB with endpoints A(x1,x2) and

B(y1,y2) are:

22121 yyxx

Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and...

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