Question

will give medal and fan .... please help

Answer 1

In a geometry class, the students were asked to prove the theorem below by contradiction:

Theorem: In a quadrilateral, there cannot be more than three obtuse angles.

Heather begins the proof with an assumption. Which statement will she most likely use as an assumption?

Let one angle of a quadrilateral be acute and the other three angles obtuse.

Let all angles of a quadrilateral be obtuse.

Let only one angle of a quadrilateral be obtuse.

Let one angle of a quadrilateral be obtuse and the other three angles acute.

Answer 2

OK, start by telling me the answer that is the exact opposite of the theorem

Answer 3

i dont know it

Answer 4

OK, it says there cannot be MORE than three obtuse angles

Answer 5

Which answer says the opposite of that? (so, which one says that there ARE more than three angles)

Answer 6

so its not A

Answer 7

Correct, because there are three or less obtuse angles in that statement, so it does not contradict

Answer 8

is the answer C

Answer 9

C says that only 1 angle is obtuse, so it does not contradict, because there are 3 or less obtuse angles.

Answer 10

D ???

Answer 11

Remember that there are 4 angles in a quadrilateral, and that 3 or less obtuse angles would make it non contradicting to the theorem.

Answer 12

D says that 1 is obtuse, and 3 are acute, so there are still 3 or less obtuse angles.

Answer 13

So, the answer is B, because all 4 angles are obtuse according to that statement, contradicting the theorem like it is supposed to.

Answer 14

I hope I helped

Answer 15

thank you so much

Answer 16

no problem.