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Logic and Proof
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Logic and Proof
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25 Questions

1.
whether a statement is true or false

2.
the phrase immediately following the word 'then' in a conditional statement

3.
If segment AB ≅ segment CD, and segment CD ≅ segment ED, then segment AB ≅ segment EF.

'Cuts out the middle man,' Replaces an entire side in a chain reaction

4.
formed by switching the hypothesis and conclusion, 'if q, then p'

5. What are the 5 theorems you may use in angle proofs?

6. The _____ are always logically equivalent.

7.
the conjunction of a conditional and its converse, 'p if and only if q', true when both the conditional and the converse is true

8.
a concluding statement reached using inductive reasoning

9.
For any line segment AB, segment AB ≅ segment AB

10.
If a = b, then a - c = b - c.

(If you subtract the same number from each side of an equation, then both sides are still equal.)

11.
If A, B, and C are collinear points and B is between A and C, then AB + BC = AC.

'Part + Part = Whole'

12.
a visual way of displaying the relationships between sets of data

13.
If
14.
a statement that can be written in if-then form, meaning 'p implies q' or 'if p, then q'

15.
Allows you to draw a conclusion from two conditional statements in which the conclusion of the first statement is the hypothesis of the second statement.

If p, then q.
If q, then r.
Therefore, If p, then r.

16.
Some elements of p are elements of q.
Two circles, p and q, that have an overlap.
p and q (overlap part)
p or q (everything in both circles)

17. What are the 6 definitions that may be used in angle proofs?

18.
Given a conditional statement, if the hypothesis is true, then the conclusion is true.

If p, then q.
Given p.
Therefore q.

19.
formed by negating AND switching the hypothesis and conclusion, 'if not q, then not p'

20.
related conditional statements that have the same truth value

21. What are the 3 properties that may be applied to statements with congruence symbols as well as equals signs?

22.
A ray is an angle bisector if and only if it divides an angle into two equal halves.

23.
a listing of the all possible truth values for a set of one or more propositions

24.
If a is a real number, then a = a.

(A value will always equal itself).

25.
Figures are congruent if and only if they have the same measure.

(Used whenever you switch from ≅ to = or = to ≅.)

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