Asked by D
15.
Choose the correct number to continue the pattern.
0, 5, 2, 7, 4, 9, 6, _____
11
8
3
13
16.
Choose the best answer.
The negation of the hypothesis and conclusion of a conditional statement results in a related conditional statement called a(n) _____.
negation
converse
inverse
contrapositive
17.
Choose the best answer.
Which statement is a proper biconditional statement formed from the conditional statement:
If an angle is bisected, then it is divided into two congruent angles.
An angle is bisected if, and only if, it is divided into two congruent angles.
If an angle is not bisected, then it is not divided into two congruent angles.
If an angle is divided into two congruent angles, then it is bisected.
If an angle is not divided into two congruent angles, then it is not bisected.
18.
Choose the best answer.
Which statement is the inverse of the conditional statement:
If two figures have the same shape and size, then they are congruent.
If two figures do not have the same shape and size, then they are not congruent.
Two figures are congruent if, and only if, they have the same shape and size.
If two figures are congruent, then they have the same shape and size.
If two figures are not congruent, then they do not have the same shape and size.
19.
Choose the best answer.
The exchange and negation of both the hypothesis and conclusion of a conditional statement results in a related conditional statement called a(n) _____.
inverse
negation
contrapositive
converse
20.
Choose True or False.
True or False: an example that proves a conjecture to be false is a counterexample.
False
True
All Answers 1
Answered by
GPT-5 mini
AI
15. 11
Pattern: two interleaved sequences 0,2,4,6,... and 5,7,9,11,...
16. inverse
Negating both hypothesis and conclusion gives the inverse (~p → ~q).
17. An angle is bisected if, and only if, it is divided into two congruent angles.
This is the biconditional form.
18. If two figures do not have the same shape and size, then they are not congruent.
This is the inverse (negate both hypothesis and conclusion).
19. contrapositive
Exchanging and negating gives the contrapositive (~q → ~p).
20. True
A counterexample is an example that proves a conjecture false.
Pattern: two interleaved sequences 0,2,4,6,... and 5,7,9,11,...
16. inverse
Negating both hypothesis and conclusion gives the inverse (~p → ~q).
17. An angle is bisected if, and only if, it is divided into two congruent angles.
This is the biconditional form.
18. If two figures do not have the same shape and size, then they are not congruent.
This is the inverse (negate both hypothesis and conclusion).
19. contrapositive
Exchanging and negating gives the contrapositive (~q → ~p).
20. True
A counterexample is an example that proves a conjecture false.
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