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32 Cards in this Set

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COMPETCY 18H-WHAT IS IT?
THE TEACHER UNDERSTANDS THE GEOMETIRC RELATIONSHIPS OF AXIOMATIC STRUCTURE OF eUCLIDEAN GEOMETRRY
AXIMOTATIC
DEFINE THE WORD AXIMOTATIC?
pertaining to or of the nature of an axiom; self-evident; obvious.
defn-axiomatic
Axiomotic structure-undefined terms
Used to define all other terms in the system
UNDEF TERMS
Axiomotic structure-defined terms
WRITTEN IN TERMS OF THE UNDEFINED TERMS IN ON OTHER WORDS DEFINED USING UNDEFINED TERMS
DEFINED
Axiomotic AND RE-POSTULATES-AXIOMS
STATEMENTS AND RELATIONSHIPS ASSUMED TO BE TRUE
POSTULATES
Axiomotic structure- DEDUCED THEOREEMS
STATEMENTS AND RELATIONSHIPS DEDUCED FROM DEFINATIONS AND POSTULATES
DEDUCED
BASIC ELEMENTS OF GEOMETRY-POINT
HAS NO WIDTH OR LEGTH
WHAT IS A POINT
BASIC ELEMENTS OF GEOMETRY-LINE
LINE IS A LINE
BASIC ELEMENTS OF GEOMETRY-PLANE
Geometry. a surface generated by a straight line moving at a constant velocity with respect to a fixed point.
BASIC ELEMENTS OF GEOMETRY-ANGLES
ACUTE LESS THAN 90 DEGREES,
RIGHT-AT 90 DEGREES,
OBTRUSE ANGLE-OBTRUSE-higher tan 90 but to 179 degrees
BASIC ELEMENTS OF GEOMETRY
COMPLEENTRY ANGLE
COMPLEENTRY ANGLE-SUM IS 90 DEGREEES
HE BASIC ELEMENTS OF GEOMETRY
SUPPLEIMENTAL ANGLE
SUPPLEIMENTAL ANGLE
BASIC ELEMENTS OF GEOMETRY-LENGHTS OR DISTANCE
YOU CAN FIND DISTANCE ON THE COORDINATE PLANE BY USING THE PYTHAGOREAN THEORM BECAUSE THAT IS WHERE THE DISTANCE FORMULA COMES FROM
BASIC ELEMENTS OF GEOMETRY
DISTANCE FORMULA
D=√(change in y-coor)^2+ (change in x-coor)^2 orr
√ (y-ysub2)^2+ (y-xsub1)^2
PERPENDICULAR AND PARELLEL LINES-PERPENDICULAR
LINES THAT INTERSEC AND FORM RIGHT ANGLES
PERPENDICULAR AND PARELLEL LINES-SLOPES OF PERPEINDICULAR LINES ARE
RECIPROCALS OF EACH OTHER
PERPENDICULAR LINES
PERPENDICULAR AND PARELLEL LINES
LINES THAT NEVER INTERSECT BUT ARE IN THE SAME PLACE
PERPENDICULAR AND PARELLEL LINES
SLOPES OF PARALLEL LINES ARE EQUAL-SOMETHING LIKE RUNNING ALONG THE SIDE OF EACH OTHER
PARAELLEL LINE
TRIANGLES-ACUTE
ALL ANGLES ARE ACUTE
TRIANGLES-SCALENE
NO SIDES ARE EQUAL-
SCALEN(NOTEQUAL)E
TRIANGLES-ISOSCELES
TWO SIDES-, TWO ANGLES ARE EQUAL
TRIANGLES-OBTUSE
OBTUSE-ALL ANGLES ARE EQUAL
OBTUSE
TRIANGLES-EQUALITERAL
ALL SIDES AND ANGLES ARE EQUAL
TRIANGLES-SIMILAR
ALL CORRSPONDING ANGLES ARE EQUAL CCORROSPONDING SIDES ARE PROPORTIONAL
SIMILAR
TRIANGLES-CONGRUENT
ALL CORRESPONDING ANGLES ARE EQUAL ALL CORROSPONDING SIDES ARE CONGRUENT
CONGURENT
SHOWING SIDES OF CONGRUENT ANGLES-SSS WHICH ALL SIDE CONGRUENTS
SSS- WHICH ALL SIDE CONGRUENTS
SSS
SAS-TWO SIDES AND THE ANGLE BETWEEN THEM ARE CONGRUENT
SAS BETWEEN THEM ARE CONGRUENT
SAS
ASA-TWO ANGLES AND THE SIDE BETWEEN THEM ARE CONGURENT
ASA-TWO ANGLES AND THE SIDE BETWEEN THEM ARE CONGURENT
ASA
AAS-PERPENDICULAR BISECTOR
ANY TWO ANGLES AND A SIDE ARE CONGRUENT
AAS
LOOK AT UDERSTAND ALL THE CONSTRUCTIONS DONE WITH A COMPASS AND STRRAIGHT EDGE OF TECHNOLOGY
COPING A SEGMENT
COPYING ANGLE
BISECTING AN ANGLE
P
EXAMPLE 2 PAGE 75" IF ∆THO=∆MAS AND LOOK AT EXAMPLE
DO YOU UNDERSTAND THE EXAMPLE?dO IT ON PAPER!!!
DO THE WORK!
DO EXample 3 on paper page 77
reveiw the problem on paper
DO THE WRITTEN WORK!