Question

Brad wrote the statement shown below.

If a triangle is obtuse, then all angles do not measure less than 90°.

Which of these is logically equivalent to it?
Answer If a triangle is not obtuse, then all angles measure less than 90°.
If a triangle is obtuse, then it has no angle measuring more than 90°.
If all angles of a triangle measure less than 90°, then the triangle is not obtuse.
If all angles of a triangle do not measure less than 90°, then the triangle is obtuse.

Answer 1

is it D?

Answer 2

Obtuse angles are usually bigger than 90 degrees

Answer 3

so You would be correct. I believe

Answer 4

looks like D to me.... but I think Brad needs some remedial geometry

Answer 5

no, the converse is NOT equivalent to the original statement

Answer 6

If all angles of a triangle measure less than 90°, then the triangle is not obtuse.

Answer 7

D: im so confused

Answer 8

yes.. its D only

Answer 9

If you have something like "If P then Q", then the equivalent statement is "If not Q, then not P"

Answer 10

I am 100% sure... its D

Answer 11

The only choice that fits that form is "If all angles of a triangle measure less than 90°, then the triangle is not obtuse. "

Answer 12

A is not correct.. as in case of right angled triangle.. its not holds correct..!!

Answer 13

thank you guys : )

Answer 14

The answer isn't D

Answer 15

Jim is right, it's c)

Answer 16

Sorry

Answer 17

uhhhh why is it C?

Answer 18

If a triangle is obtuse, then all angles do not measure less than 90
If all angles of a triangle measure less than 90°, then the triangle is not obtuse.

--it's saying the equivalent thing

Answer 19

Because saying something like "if it is raining, then it gets wet outside" is the same as saying "if it's not wet outside, then it is not raining"

Answer 20

jim, you are a genius :)

Answer 21

thx josh, does that make sense tahtah99?

Answer 22

yeah thank you : )

Answer 23

you're welcome