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