Geometry-Chapter 2
6
Find the coordinate of the midpoint of line segment AB, if a = -5 and b = 17. m = __________ Enter only a numeric answer. (ex. 56 or -7 or 13.7)
d. ~ q -> ~ p
Find the equivalence. p -> q a. ~ p -> ~ q b. q -> p c. ~ q -> p d. ~ q -> ~ p
b. -1, 0.5
Find the next 2 number in the pattern. 32, -16, 8, -4, 2,... a. 1, 0.5 b. -1, 0.5 c. -0.5, 0.125
c. 19, 25
Find the next 2 numbers in the pattern. -5, 1, 7, 13, ... a. 19, 25 b. 20, 27 c. 19, 26 d. none of the above
d. 21, 34
Find the next 2 numbers in the pattern. 2, 3, 5, 8, 13, ... a. 18, 23 b. 18, 24 c. 21, 29 d. 21, 34
c. 25, 36
Find the next two numbers in the pattern. 1, 4, 9, 16, ... a. 23, 30 b. 25, 34 c. 25, 36 d. none of the above
definition of midpoint
Name the definition, postulate, theorem, or property that justifies the statement. If M is the midpoint of line segment XY, then line segment XM ≅ line segment MY. a. definition of betweenness b. definition of midpoint c. definition of congruent segments d. Line Postulate e. none of these
a. definition of betweenness
Name the definition, postulate, theorem, or property that justifies the statement.If TU + UV = TV then T-U-V. a. definition of betweenness b. definition of midpoint c. definition of congruent segments d. Line Postulate e. none of these
True
When there are 2 right angles, supplements of congruent angles are congruent. True False
a. identity
Which is not a property of an equivalence relation? a. Identity b. Reflexive c. Symmetric d. Transitive
0 √36 -2/5 15.03
Which of the following are rational numbers? Choose all that apply. a. 0 b. √36 . c. 7.010010001. d. -2/5 e. 15.03 f. √13
c. If school is not canceled, then it did not snow.
Which statement is the contrapositive of the conditional "If it snows, then school will be canceled"? a. If it does not snow, then school will not be canceled b. If school is canceled, then it snowed. c. If school is not canceled, then it did not snow.
true
Angles that form a linear pair are also supplementary angles. True False
a. converse
A biconditional is formed by combining a conditional and its ____. a. converse b. inverse c. negation d. none of the above
False
A valid argument is a sound argument. True False
a. If there is no rain for months, then a drought occurs.
Choose the correct conditional statement. A drought occurs when there is no rain for months. a. If there is no rain for months, then a drought occurs. b. If a drought occurs, then there is no rain for months. c. A drought occurs and there is no rain for months d. A drought occurs or there is no rain for months.
a. If an animal is a marsupial, then it is a mammal
Choose the correct conditional statement. All marsupials are mammals. a. If an animal is a marsupial, then it is a mammal. b. If an animal is a mammal,then it is a marsupial c. An animal is a marsupial or a mammal. d. An animal is a marsupial and a mammal
d. Transitive Property
Choose the definition, postulate, theorem, or property that justifies the statement. If line segment AD ≅ line segment BG and line segment BG ≅ line segment MN, then line segment AD ≅ line segment MN . a. Reflexive Property b. definition of midpoint c. definition of congruence d. Transitive Property e. none of these
c. definition of congruence
Choose the definition, postulate, theorem, or property that justifies the statement. If ST = TS, then line segment ST ≅ line segment TS . a. Symmetric Property b. Transitive Property c. Line Postulate d. definition of congruence e. none of these
d. rational
Choose the most specific set to which the number belongs. 3.14159 a. integer b. irrational c. natural d. rational e. whole
b. irrational
Choose the most specific set to which the number belongs. π a. integer b. irrational c. natural d. rational e. whole
d. Identity
Choose the property illustrated. 2 + 0 = 2 a. Associative b. Commutative c. Distributive d. Identity e. Inverse
c. distributive
Choose the property illustrated. 2(x + 3) = 2x + 6 a. Associative b. Commutative c. Distributive d. Identity e. Inverse
e. inverse
Choose the property illustrated. 2/3 x 3/2 =1 a. Associative b. Commutative c. Distributive d. Identity e. Inverse
b. All people are teachers.
Choose the statement represented by the symbolization. p: People are teachers. a. Some people are teachers. b. All people are teachers. c. People are not teachers. d. none of the above.
b. inductive
Classify the argument as deductive or inductive. God loves His children. He has provided for all of my needs and given me the desires of my heart.. a. deductive b. inductive
b. deductive
Classify the argument as deductive or inductive. All state capitals are American cities. All American cities have a post office. Therefore, all state capitals have a post. a. office. b. deductive c. inductive
True
Complete this row of the truth table. p q p-->q True False
False
Complete this row of the truth table. p q p^q True False
a. valid and sound
Evaluate the validity and soundness of the argument. Assume the premises are true .All people are sinners. John is a person. Therefore, John is a sinner. a. valid and sound b. valid and unsound c. invalid and sound d. invalid and unsound
d. invalid and unsound
Evaluate the validity and soundness of the argument. Assume the premises are true. Some spiders are poisonous. Tarantulas are spiders. Therefore, tarantulas are poisonous. a. valid and sound b. valid and unsound c. invalid and sound d. invalid and unsound
-60
Find the coordinate of U if T is the midpoint of line segment SU, t = 87, and s = 234. U = ___________ Enter only a numeric answer. (ex. 56 or -7 or 13.7)
c. transitivity
Identify the type of argument. All Christians are stewards. All stewards have responsibilities. Therefore, all Christians have responsibilities. a. modus ponens b. modus tollens c. transitivity d. none of these
True
If a circle is a square, then a plant is a mammal. True False
b. Modus Tollens
If the team plays well, then they will win. The team did not win. Therefore, the team did not play well. The above argument is an example of _____. a. modus ponens b. modus tollens c. transitivity
a. modus ponens
If you study hard for a test, then you will get an A. You studied hard for a test. Therefore, you got an A. The above argument is an example of _____. a. modus ponens b. modus tollens c. transitivity d. none of the above
b. False
If, line segment RS ≅ line segment AB then line segment AB ≅ line segment RS is an example of the Reflexive Property of Equality. a. True b. False
a. True
If, line segment RS ≅ line segment AB then line segment AB ≅ line segment RS is an example of the Symmetric Property of Congruent Segments. a. True b. False
True
It is possible to have a true conclusion even if the argument is not sound. True False
false conjunction
January is the first month of the year, and December is the tenth month. a. true conjunction. b. false conjunction c. true disjunction d. false disjunction
True Disjunction
Red means go or red means stop. a. true conjunction b. false conjunction c. true disjunction d. false disjunction
d. rational
State the most specific set to which the number belongs. - 5/3 a. integer b. irrational c. natural d. rational e. whole
False
Supplementary angles are congruent. True False
True
The negation of "All balls are round" is "At least one ball is not round." True False
True
The negation of "Some bird live in trees" is "No bird lives in trees." True False
True
The negation of "Some fish live in freshwater" is "All fish do not live in freshwater." True False
False
The negation of "Some fish live in freshwater" is "Not all fish live in fresh water." True False
True
The number 24 is a counterexample to the following statement: If a number is divisible by 3 and 6, then it is also divisible by 9. True False
False
The number 66 is a counterexample to the following statement: If a number is divisible by 3 then it is also divisible by 2. True False
c. depends on the truth of the premises
The statement, A valid argument is a sound argument. a. True b. False c. Depends on the truth of the premises.
a. true conjunction
The sum of 2 even counting number is even, and the sum of 2 odd counting number is even. a. true conjunction b. false conjunction c. true disjunction d. false disjunction
b. If school is canceled, then it snowed.
Which statement is the converse of the conditional :If it snows, then school will be canceled"? a. If it does not snow, then school will not be canceled. b. If school is canceled, then it snowed. c. If school is not canceled, then it did not snow.
a. if it does not snow, then school will not be canceled.
Which statement is the inverse of the conditional "If it snows, then school will be canceled"? a. If it does not snow, then school will not be canceled. b. If school is canceled, then it snowed. c. If school is not canceled, then it did not snow.
b. valid
Which word describes reasoning that proceeds logically from the premises to the conclusions? a. sound b. valid
True
{rational numbers} {irrational numbers} = {real numbers} True False