Triangle Question?

Question

Which of the following is impossible to draw on a coordinate plane:

1) A right triabgle with all 3 sides having negative slope.

2) An obtuse triange with 1 side having positive slope and the other 2 having negative slope.

3) An isosceles triange with all 3 sides having positive slope.

4) A right triange with one side having undefined slope, one side having slope 0, and one side having slope 1.

5. A triange with two sides having the same slope.

Thanks!

Cheers,

Rosefern

Answer 1

1) A right triabgle with all 3 sides having negative slope.
This is impossible because the two legs of a right triangle have slopes that are negative reciprocals of one another

2) An obtuse triange with 1 side having positive slope and the other 2 having negative slope.
This is possible. (0,0), (3,1) and (-1,5) describe such a triangle.

3) An isosceles triange with all 3 sides having positive slope.
This is impossible. aone of the equal sides will have apositive slope and the other a negative slope.

4) A right triange with one side having undefined slope, one side having slope 0, and one side having slope 1.
Yes this is possible. A triangle at (0,0) (-1,0) and
(0,1) is such a right triangle.

5. A triange with two sides having the same slope.
This is impossible as the two sides would be parallel and it would be impossible to form a triangle by adding the third side.

Answer 2

1 and 3

Answer 3

All but #4 and #2 . Have a great day!

Answer 4

I vote 4.

Answer 5

Only #4 is possible

Answer 6

You are impossible

Answer 7

heres my thought process:

70%....5
20%....3
10%....4