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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!