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PLEASE HELP VERY URGENT Let p represent "Two angles have the same measure," and let q represent "The angles are congruent."
Which symbolic statement represents the following conditional: "If two angles are not congruent,
then they have the same measure"?
answer choices:
~q->p
p->q
q->p
q->~p

Respuesta :

The symbolic representation for the given statement " If two angles are not congruent, then they have the same measure" is ~q → p. So, option A is correct.

How a conditional statement is represented?

  • The conditional statement consists of a hypothesis sentence and a conclusion statement.
  • A conditional statement can be written as " If p then q" where p is called the hypothesis and q is called the conclusion.
  • The statement "If p then q" - means q must be true whenever p is true.

Calculation:

It is given that,

p - "Two angles have the same measure"

q - "The angles are congruent"

Statement: " If two angles are not congruent, then they have the same measure"

So, symbolically it is written as,

The hypothesis "two angles are not congruent" is represented by ~q and the conclusion "they have the same measure" is represented by p.

That is,

The representation is "If ~q then p i.e., ~q → p. So, option A is correct".

Learn more about conditional statements here:

https://brainly.com/question/21170

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