Question

logic and reasoning
assignment active
explaining the law of syllogism
julie tried to use the law of syllogism to draw a conclusion based on the statements below. explain why she is not able to do so.
if ab is bisected by another line segment, two pairs of congruent angles are formed.
if ab is bisected by another line segment, segment ab will be cut into two equal sections.
the law of syllogism cannot be applied because the consequents of the given propositions do not link as the law requires
sample response: the conditional statements are not in the correct form to make a conclusion using the law of syllogism. “if p, then q and if p, then r” cannot be used to draw a conclusion using the law of syllogism. the law of syllogism could be used if the hypothesis in the second statement was “if two pairs of congruent angles are formed.”
what did you include in your response? check all that apply.
□ “if p, then q and if p, then r” cannot be used to draw a conclusion using the law of syllogism.
□ neither of the conclusions of the conditional statements are the hypothesis of the other.
□ “if two pairs of congruent angles are formed” could be the hypothesis of the second statement.

Explanation:

Breve explicación:

La ley de silogismo requiere que la conclusión de una proposición condicional sea la hipótesis de la siguiente. En este caso, las conclusiones de las proposiciones condicionales no se enlazan de esta manera. "Si p, entonces q y si p, entonces r" no es una estructura válida para la ley de silogismo.

Respuesta:

• "If p, then q and if p, then r" cannot be used to draw a conclusion using the law of syllogism.
• Neither of the conclusions of the conditional statements are the hypothesis of the other.

Answer:

Breve explicación:

La ley de silogismo requiere que la conclusión de una proposición condicional sea la hipótesis de la siguiente. En este caso, las conclusiones de las proposiciones condicionales no se enlazan de esta manera. "Si p, entonces q y si p, entonces r" no es una estructura válida para la ley de silogismo.

Respuesta:

• "If p, then q and if p, then r" cannot be used to draw a conclusion using the law of syllogism.
• Neither of the conclusions of the conditional statements are the hypothesis of the other.