Which conditional has the same truth value as its converse?

Asked by maham237 @ 26/12/2020 in Mathematics viewed by 298 People

Which conditional has the same truth value as its converse? If a figure is a square, then it has four sides. If an angle has a measure of 80°, then it is acute. If x – 17 = 4, then x = 21. If x = 7, then |x| = 7.

Answered by maham237 @ 26/12/2020

All statements are true, but if you try to reverse them they won't necessarily be true.

Let's try:

Square ⇒ Has 4 sides
But if something has 4 sides it doesn't mean it's a square (example: rectangle)

Angle is 80° ⇒ acute angle
But acute angle is any angle below 90°, not just 80° so the reverse isn't true.

x – 17 = 4 ⇒ x = 21
And if we reverse
x = 21 ⇒ x – 17 = 4
we see that it's true for either direction.

x = 7 ⇒ |x| = 7

But |x| = 7 doesn't mean that x has to be 7, x can also be -7, so the reverse isn't true.

ANSWER: x – 17 = 4, then x = 21

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