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Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary and Formulas for Unit 1

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 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

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 inductive reasoning

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 inductive reasoning: reasoning based on patterns you observe Using the pattern, what is the next term in the sequence?

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 conjecture

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 conjecture: a conclusion reached when using inductive reasoning Based on the pattern, I think the answer is…

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 counterexample

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 counterexample: an example for which a conjecture is false Conjecture: All integers are natural numbers. Counterexample: -1

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 point

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 point: a location in space having no size P

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 space

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 space: the set of all points

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 line

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 line: a series of points that extends in two opposite directions without end P Q t line t oror

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 collinear points

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 collinear points: points that lie on the same line collinear non-collinear X Y Line l Z X Y Z

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 plane

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 plane: a flat surface that has no thickness P Plane P C B A Plane ABC

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 coplanar

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 coplanar: points and lines that lie in the same plane X coplanar Y Line l Line m X Y non-coplanar Line l Line m

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 postulate or axiom

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 postulate or axiom: a statement that is accepted as true without proof Example: Through any two points there is exactly one line.

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 segment

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 segment: the part of a line consisting of two endpoints and all the points between them A B endpoint Segment AB

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 ray

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 ray: the part of a line consisting of two endpoints and all the points between them X Y endpoint Ray YX

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 opposite rays

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 opposite rays: two collinear rays with the same endpoint XSR and are opposite rays

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 parallel lines

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 parallel lines: coplanar lines that do not intersect

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 skew lines

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 skew lines: lines that do not lie in the same plane

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 parallel planes

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 parallel planes: planes that do not intersect A G FE D C B H Plane ABCD is parallel to Plane EFGH

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 congruent ( ) segments

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 congruent segments: segments with the same length AB CD AB CD 5 cm AB = CD

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 midpoint of a segment

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 midpoint of a segment: a point that divides a segment into two congruent segments A B C

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 angle

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 angle: two rays with the same endpoint vertex

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 acute angle

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 acute angle: an angle whose measure is between 0º and 90º

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 right angle

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 right angle: an angle whose measure is exactly 90º

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 obtuse angle

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 obtuse angle: an angle whose measure is between 90º and 180º

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 straight angle

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 straight angle: an angle whose measure is exactly 180º

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 congruent angles

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 congruent angles: angles with the same measure

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 perpendicular lines

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 perpendicular lines: two lines that intersect to form right angles

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 perpendicular bisector of a segment

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 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

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 angle bisector

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 angle bisector: a ray that divides an angle into two congruent coplanar angles

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 distance formula

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 distance formula: the distance d between two points A(x 1,x 2 ) and B(y 1,y 2 ):

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 midpoint formula

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Chris Giovanello, LBUSD Math Curriculum Office, 2004 midpoint formula: the coordinates of the midpoint M of AB with endpoints A(x 1,x 2 ) and B(y 1,y 2 ) are:

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