Advanced Geometry Unit 2 Intro to Logic & Proofs
14
Advanced Geometry Unit 2 Intro to Logic & Proofs PRIZE SHOW
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PRIZE SHOW. Advanced Geometry Unit 2 Intro to Logic & Proofs. 2. 3. 1. 5. 6. 4. 8. 9. 7. 10. 11. 12. a. b. c. 1. Always, Sometimes or Never?. Always. Sometimes. Always. BACK. a. b. 2. Always, Sometimes or Never?. a. Sometimes. Never. BACK. a. b. - PowerPoint PPT Presentation
Transcript of Advanced Geometry Unit 2 Intro to Logic & Proofs
Advanced GeometryUnit 2
Intro to Logic & Proofs
PRIZE SHOW
3. 2.
4.
7.
10.
5.
8.
11.
6.
9.
12.
1.
1. Always, Sometimes or Never?
Always
Sometimes
Alwaysa. The supplement of an obtuse
is acute.
c. If 2 's are complementary to
2 's, then they are .
b. If 2 's are to 2 complementary
's, then they are .
2. Always, Sometimes or Never?
Never
Sometimes
a. Supplementary ' are .s a. Supplementary ' are .s
b. The complement of an angle
is congruent to its supplement.
3. Always, Sometimes or Never?
Sometimes
b. Vertical angles are supplementary.
Always
a. The supplement of the complement
of an angle is obtuse.
4. Always, Sometimes or Never?
Always
b. The converse of a definition is true.
Sometimes
a. The contrapositive of a conditional
statement is reversable.
Always
c. Two 's supplementary to
the same are .
Always
a. If bisects ABD, and
bisects DBC, then
EBF is a right angle.
BE
BF
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5. Always, Sometimes or Never?
A
F
DE
CB
b. If line a line b and line b line c ,
then line a line c.
Never
a. State the converse.
If the Tigers win, it won't rain.
6. Given: "If it doesn't rain, the Tigers will win."
b. State the Inverse.
If it rains, the tigers won't win.
c. State the Contrapositive. If the tigers don't win, it rains.
7. The measure of the supplement of an angle is 6 more than 7 times the complement of the angle. Find the complement.
Complement = 14°
8. Given: "If ABC = 105 , then ABC is not acute."
a. State the converse.If ABC is not acute, then ABC = 105 .
b. Is the inverse true or false?False.
c. Identify a counterexample:
Sample answer: ABC = 100 .
9. Complete the Truth Table:
F
T
FF
F
F
T
T
T
TT
T
T
T
T
T
T
T
T
F
T
F
F
T
q r p q r rqp r
A B C D
F
G J
EH
I
12
5
34
10.a. Given: DG;
If B and C trisect , and
F and E trisect , by what
property does AB = FE?
AD
AD
DG
Segment Division Property
(Like divisions of segments are .)
10.b. Why is 1 5 ?
Vertical 's are .
A B C D
F
G J
EH
I
12
5
34
11. If DG and
BD GE, by what property
is AB = ED?
AD
Segment Subtraction Property
(If segments subtracted from segments,
then their differences are .)
A B C D
F
G J
EH
I
12
5
34
12a. Why is 1 supp. 2? A linear pair is supp. (Two adjacent angles
forming a staight angle are supp.)
12b. If 1 3,
why is 2 4?
Supplements of 's are .
12c. If 1 5, and 5 3,
why is 1 3?
Transitive property of .
