Question

Read the statement. Doubling the dimensions of a rectangle increases the area by a factor of 4. If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options.

(A) p - q represents the original conditional statement.
(B) -q represents the inverse of the original conditional statement.
(C) q - p represents the original conditional statement.
(D) -p represents the converse of the original conditional statement.
(E) -q represents the contrapositive of the original conditional statement.

Answer 1

The original conditional statement is represented by p - q, while the inverse of the original conditional statement is represented by -q.

Step-by-step explanation:

The statement says that doubling the dimensions of a rectangle increases the area by a factor of 4. This can be represented as p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.

The original conditional statement is represented by p - q. So, option (A) p - q represents the original conditional statement is true.

The inverse of the original conditional statement is represented by -q. So, option (B) -q represents the inverse of the original conditional statement is true.