Question

a biconditional statement that is used to describe a geometric object or concept is called a ______
negation
definition
conjecture
inverse

1. 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.

Explanation:

First Question (Fill in the Blank)

A biconditional statement used to describe a geometric object/concept is a definition. A negation is the opposite of a statement, a conjecture is an unproven statement, and an inverse is a modified conditional statement (not a description of a concept). So the correct term is "definition".

The converse of a conditional statement "If \( p \), then \( q \)" is "If \( q \), then \( p \)". The original statement is "If two figures have the same shape and size (\( p \)), then they are congruent (\( q \))". So the converse should be "If two figures are congruent (\( q \)), then they have the same shape and size (\( p \))".

Answer:

definition

Second Question (Converse of Conditional Statement)