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23 Cards in this Set
- Front
- Back
FOUR STEP PLAN to solving a mathematical problem
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1.EXPLORE the problem
2.PLAN the solution 3.SOLVE the problem 4.EXAMINE the solution |
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line segment
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has a definite beginning POINT
and a definite end POINT. |
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AREA of a rectangle
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the number of square units to cover the figure. Like carpet
AREA= L multiplied by width area = length x width ANSWER ALWAYS GIVEN IN SQUARE UNITS |
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noncollinear
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points NOT on the same line
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CONDITIONAL STATEMENTS
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AN IF-THEN STATEMENT LIKE A GURANTEE.
HAS 2 PARTS;HYPOTHESIS& CONCLUSION FOLLOWING IF= HYPOTHESIS FOLLOWING THEN=CONCLUSION IF "IF" IS NOT PART OF THE HYPOTHESIS, THEN "THEN" IS NOT PART OF THE CONCLUSION! |
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collinear
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on the same line.
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CONTRAPOSITIVE of the conditional
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FIRST TAKE THE CONVERSE OF THE CONDITIONAL(EXCHANGE THE HYPOTHES AND CONCLUSION) THEN NEGATE BOTH THE HYPOTHESIS (IF) AND THE CONCLUSION (THEN)
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INDUCTIVE REASONING
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MAKE A CONCLUSION BASED ON A PATERN OF EXAMPLES OR PAST EVENTS.
EXAMPLE: DARK CLOUDS AND YOU REASON THERE WILL BE A STORM! LOOK AT A PATERN OF NUMBERS TO FIND THE NEXT NUMBER IN A SEQUENCE. |
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COPLANAR
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POINTS THAT LIE ON THE SAME PLANE AS THE FIRST 3 POINTS
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CONJECTURE (CON JEC TURE)
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A CONCLUSION OR EDUCATED GUESS
IT IS BASED ON INDUCTIVE REASONING. SOMETIMES CORRECT SOMETIMES NOT. |
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POSTULATE 1-1
HOW TO DETERMINE A LINE |
TWO POINTS DETERMINE A UNIQUE LINE.
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LINE
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A SEARIES OF AN INFINITE NUMBER OF POINTS THAT EXTENDS WITHOUT END IN BOTH DIRECTIONS.
can be named by a single lower case letter a or by 2 points on the line AB |
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POSTULATE 1-3
THE PLANE |
THREE NONCOLLINEAR POINTS DETERMINE A UNIQUE PLANE.
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COUNTEREXAMPLE
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WHEN CONJECTURE (EDUCATED GUESS) IS INCORRECT
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CONVERSE of a conditional statement
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substitute the hypothesis (if)
for the conclusion(then) of a statement. CONDITIONAL: IF A FIGURE IS A TRIANGLE, THEN IT HAS 3 ANGLES ========================= CONVERSE: IF A FIGURE HAS 3 ANGLES, THEN IT IS A TRIANGLE |
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POINT
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THE BASIC UNIT OF GEOMETRY
IT HAS NO SIZE IT IS NAMED USING CAPITAL LETTERS .A |
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POSTULATE 1-2
INTERSECTING LINES |
IF TWO LINES INTERSECT; THEN
THEIR INTERSECTION IS A POINT. |
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ray
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definite starting POINT and extends indefinately in the direction of the arrow
A .--------------> THE STARTING POINT IS CALLED THE ENDPOINT IT IS LABELED USING THE ENDPOINT FIRST, THEN ANOTHER POINT ON THE RAY. THE FIRST LETTER TO APPEAR IS THE ENDPOINT EG AB |
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PERIMETER
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THE DISTANCE AROUND THE outside of a figure
perimeter= length+width=length=width or P=2(l)=2(w) |
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POSTULATE (POS TUL ATE)
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THE FACTS ABOUT GEOMETRY THAT ARE ACCEPTED AS TRUE.
THE FOUNDATION OF GEOMETRY |
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PLANE
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FLAT SURFACE EXTENDS IN ALL DIRECTIONS FOR ANY THREE NON-
COLLINEAR POINTS. THERE IS ONLY ONE PLANE THAT CONTAINS ALL THREE POINTS |
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INVERSE of the conditional
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take the conditional then, negate (make negative or opposite) both the hypothesis(if) and the conclusion(then)
CONDITIONAL; if it is raining, then it is cloudy. ===================== INVERSE: if it is not raining, then it is not cloudy |
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AREA of a parallelogram
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area of parallelogram is the
BASE x height (not side x height)***** **height of parallelogram is determined by right triangle.*** |