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.

p → q represents the original conditional statement.
~p → ~q represents the inverse of the original conditional statement.
q → p represents the original conditional statement.
~q → ~p represents the converse of the original conditional statement.
p → ~q represents the contrapositive of the original conditional statement

Respuesta :

A and B

given

p -> double the sides of the rectangle

q -> increase the area by a factor of 4

From the question, q depends I understand. p.

This means that the original statement was option A and p → q.

An arrow from p to q indicates that if p is true, then q is also true.

Therefore option A is correct.

Option B is also correct as it is the opposite of (A) above.

In other words, if the sides of a triangle are not doubled, the area is not quadrupled.

This actually stands for negation or inversion.

So options A and B answer the question, but the other options are wrong.

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. You can also define it like this: Or a parallelogram containing a right angle. A rectangle with four equal sides is a square. Wikipedia

A rectangle is a four-sided polygon with all interior angles of 90 degrees. His two sides of each corner or corner meet at right angles. A rectangle with opposite sides of equal length is distinguished from a square.

Learn more about rectangles here

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