Answer :
To translate the given mathematical statement into symbolic form, let us break down the statement and identify the terms and their relationships.
The statement: "Any angle inscribed in a semicircle (i) is a right angle (r)."
Here, "angle inscribed in a semicircle" will be represented by [tex]\( i \)[/tex].
"Right angle" will be represented by [tex]\( r \)[/tex].
The statement explicitly states that whenever we have an angle inscribed in a semicircle, then it will be a right angle. This implies a direct conditional relationship from [tex]\( i \)[/tex] to [tex]\( r \)[/tex].
To express this conditional relationship, we use the logical implication symbol [tex]\( \rightarrow \)[/tex]. This symbol indicates that if [tex]\( i \)[/tex] (an angle inscribed in a semicircle) is true, then [tex]\( r \)[/tex] (it is a right angle) is also true.
Thus, the correct symbolic form of the given statement "Any angle inscribed in a semicircle (i) is a right angle (r)" is:
[tex]\[ i \rightarrow r \][/tex]
The statement: "Any angle inscribed in a semicircle (i) is a right angle (r)."
Here, "angle inscribed in a semicircle" will be represented by [tex]\( i \)[/tex].
"Right angle" will be represented by [tex]\( r \)[/tex].
The statement explicitly states that whenever we have an angle inscribed in a semicircle, then it will be a right angle. This implies a direct conditional relationship from [tex]\( i \)[/tex] to [tex]\( r \)[/tex].
To express this conditional relationship, we use the logical implication symbol [tex]\( \rightarrow \)[/tex]. This symbol indicates that if [tex]\( i \)[/tex] (an angle inscribed in a semicircle) is true, then [tex]\( r \)[/tex] (it is a right angle) is also true.
Thus, the correct symbolic form of the given statement "Any angle inscribed in a semicircle (i) is a right angle (r)" is:
[tex]\[ i \rightarrow r \][/tex]
