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Geometry Chapter 2
Vocab words for Geometry chap 2
10
Mathematics
10th Grade
10/19/2014

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Term
COMPLEMENTARY ANGLES
Definition
2 Angles whose Sum is equal to 90 degrees
Term
CONDITIONAL
Definition
AN IF, THEN STATEMENT
If xxx is True, Then XXX will be true.
IF you are not happy with your meal, THEN we will refund your money.
Term
HYPOTHESIS
Definition
The part following the IF in an IF,THEN Statement.
If HYPOTHESIS, Then CONCLUSION
If the car won't start(hypothesis), THEN we cannot drive it(conclusion).
Term
CONVERSE
Definition
A Conditional with the HYPOTHESIS (A) and CONCLUSION (B) Reversed.
For a Conditional IF A, THEN B
The CONVERSE of it is IF B, then A
Term
DEDUCTIVE (LOGICAL) REASONING
Definition
Using IF,THEN statements to reach a True CONCLUSION with any True Statements given to you.

True Info: The car battery is dead.
Conclusion using this info:
IF the car battery is dead, THEN it will not start.
Term
CONCLUSION
Definition
The part following THEN in an IF, THEN Statement
IF HYPOTHESIS, Then CONCLUSION
Term
ADJACENT ANGLES
Definition
2 Coplanar angles with a common side & vertex, and NO common INTERIOR points.
Term
BICONDITIONAL
Definition
Am IF and ONLY IF statement that COMBINES a CONDITIONAL and its CONVERSE, because BOTH are TRUE.

CONDITIONAL: IF 2 angles are of equal measure,THEN they are CONGRUENT. (TRUE)

CONVERSE:IF 2 angles are CONGRUENT,THEN
they have the same Measure. (TRUE)

BICONDITIONAL:2 angles have the same measure IF and only IF they are CONGRUENT.
Term
LAW OF DETACHMENT

1 law of deductive reasoning
Definition
IF a CONDITIONAL is True
AND its HYPOTHESIS is True,
THEN its CONCLUSION is True.

If p->q is True & P is true, then Q is true.
Term
LAW OF SYLLOGISM

1 law of deductive reasoning
Definition
if Conditional if p then q is true,
and if q then r is true, THEN
if p then r is True
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