Question

question 1-1 if the conditional statement if a triangle contains an angle that is 90°, then it is a right triangle. if a triangle is a right triangle, then it contains an angle that is 90°. is represented by p→q. which is the symbolic representation of the following statement? if a triangle is a right triangle, then it contains an angle that is 90°. q→p -q→p q→-p -q→-p

Explanation:

Step1: Identify the original conditional

The original conditional statement is \(p
ightarrow q\) where \(p\) is "a triangle is a right - triangle" and \(q\) is "it contains an angle that is 90°".

Step2: Recall the form of the contrapositive

The contrapositive of a conditional statement \(p
ightarrow q\) is \(
eg q
ightarrow
eg p\).

Step3: Determine the correct symbolic representation

The contrapositive of the given statement "If a triangle is a right - triangle, then it contains an angle that is 90°" (represented as \(p
ightarrow q\)) is "If a triangle does not contain an angle that is 90°, then it is not a right - triangle", which is symbolically represented as \(
eg q
ightarrow
eg p\).

Answer:

\(
eg q
ightarrow
eg p\)