Question

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

Answer 1

if it's the same as it's converse... lets reverse all of them and see if they all make sense, lets start with D.

An angle is acute if it measures 80° ..... but there are other acute angles that are not 80° so that's wrong.

if x=21 then x-17=4 ... this is very true... so let's stop here and the answer is C

Answer 2

i'm agree with sasogeek. a,b,& d are wrong.the answer is c. :D

Answer 3

if we want to consider why B and A are wrong, here's why

for B, a figure has 4 sides means it is a square... but that is soooo false! rectangles have 4 sides, kites have 4 sides, same as a rhombus and the list goes on... that that is totally wrong.

now with A, |x|=7 means that x is either 7 or -7 so you cannot conclude on that, so the definite answer we're sure of will be C :)