Download Quiz Review - School District #308

Honors Geometry
Quiz Review 2.2-2.4
Name: _____________________________________
For numbers 1 & 2, identify the hypothesis and conclusion of each conditional statement.
1. If 3x + 4 = –5, then x = –3.
2. If you take a class in television broadcasting, then you will film a sporting event.
For numbers 3 & 4, write each statement in if-then form.
3. “Those who do not remember the past are condemned to repeat it.” (George Santayana)
4. Adjacent angles share a common vertex and a common side.
5. Write the converse, inverse, and contrapositive of the following statement: “If Jody has finished her homework, then she can talk on
the phone.”
Converse: ___________________________________________________________________________________________________
____________________________________________________________________________________________________________
Inverse: ____________________________________________________________________________________________________
____________________________________________________________________________________________________________
Contrapositive________________________________________________________________________________________________
____________________________________________________________________________________________________________
For numbers 6 – 10, write a concluding statement for each of the following chains of reasoning.
6. g → e
~t → w
t → ~e
7. w → c
g→h
c→g
b→w
9. x → q
r→x
~r → ~w
p → ~q
~z → w
10. m → ~l
~m → c
~l → ~y
x→y
8. l → q
m → ~q
l→m
For numbers 11 & 12, complete each truth table.
11.
12.
p
q
T
T
T
T
F
T
F
F
T
F
T
F
F
F
F
p
q
T
∽p
∽q
∽p ∨ ∽ q
∽p
∽p ∨ q
p∧ (∽p ∨ q)
Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.
13. Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS .
Conclusion: QR  RS.
14. Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments. AB  BC.
Conclusion: B divides AC into two congruent segments.
Draw a valid conclusion from each set of statements, if possible. If no valid conclusion can be drawn, write no valid conclusion.
15. If two angles form a linear pair, then the two angles are supplementary.
If two angles are supplementary, then the sum of their measures is 180.
16. If a hurricane is Category 5, then winds are greater than 155 miles per hour.
If winds are greater than 155 miles per hour, then trees, shrubs, and signs are blown down.
17. Kaleb asked 100 adults whether they had studied French, Spanish or Japanese in school. According to the Venn diagram below,
how many had studied
a) Spanish?
b) Spanish but not French?
French
18
Spanish
21
30
3
4
c) Japanese but not French?
d) French and Spanish?
e) neither French, Spanish, or Japanese?
f) French and Spanish but not Japanese?
6
9
Japanese