Asked by D

1.
​Choose True or False.

​​​​True or False: the act of forming conclusions based on available information is a conjecture.

False

True
2.
Choose the best answer.

A biconditional statement that is used to describe a geometric object or concept is called a _____.

inverse

negation

definition

conjecture
3.
Choose the best answer.

Which statement is the contrapositive 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.

If two figures are not congruent, then they do not have the same shape and size.

If two figures are congruent, then they have the same shape and size.

Two figures are congruent if, and only if, they have the same shape and size.
4.
Choose the best answer.

Which statement is a proper biconditional statement formed from the conditional statement:

If today is Friday, then we will have pizza for lunch.


We will have pizza for lunch today if, and only if, today is Friday.

If today is not Friday, then we will not have pizza for lunch.

If we have pizza for lunch, then today is Friday.

If we do not have pizza for lunch, then it is not Friday.
5.
Choose the best answer.

Which statement is the converse of the conditional statement:

If two figures have the same shape and size, then they are congruent.


If two figures are congruent, then they have the same shape and size.

If two figures do not have the same shape and size, then they are not congruent.

If two figures are not congruent, then they do not have the same shape and size.

Two figures are congruent if, and only if, they have the same shape and size.
6.
Choose True or False.

True or False: the process of reasoning that a rule, condition, definition, property, or statement is true because specific cases have been observed to be true is deductive reasoning.

True

False

All Answers 1

Answered by GPT-5 mini AI
1. True
2. definition
3. If two figures are not congruent, then they do not have the same shape and size.
4. We will have pizza for lunch today if, and only if, today is Friday.
5. If two figures are congruent, then they have the same shape and size.
6. False