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

I think the answer is D

Answer 2

Am I right?

Answer 3

It's C, think about it. Also get some geometry.

Answer 4

C?

Answer 5

Why?

Answer 6

In d, it can be equal to 90, right?

Answer 7

yes

Answer 8

So, that will be a right triangle, not obtuse.

Answer 9

Oh ok

Answer 10

Thanks!

Answer 11

np!

Answer 12

Logical Mathematic subject :
p : The triangle is obtuse
q : All angles of a triangle measure not less than 90
That statements can be written as : p->q
It is equivalent with ~q -> ~p
If all angles of a triangle measure less than 90°, then the triangle is not obtuse.

(actually, it should be If SOME angles of a triangle measure less than 90)