Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

do the following statement and its converse form a biconditional that i…

Question

do the following statement and its converse form a biconditional that is true? if two line segments are congruent, then they have the same length. yes no

Explanation:

Step1: Write the converse

The converse of "If two line - segments are congruent, then they have the same length" is "If two line - segments have the same length, then they are congruent".

Step2: Check truth of both

By the definition of congruent line - segments, two line - segments are congruent if and only if they have the same length. So the original statement is true and its converse is also true.

Step3: Determine biconditional

A biconditional is true when both the conditional statement and its converse are true.

Answer:

yes