Question

The diagram shows triangle ABC.
Which statement would prove that triangle ABC is a right triangle?
a. The slope of segment AB and the slope of segment BC = 1
b. The slope of segment AB and the slope of segment BC = -1
c. The slope of segment AB is 1 and the slope of segment BC is -1
d. The distance from A to B is equal to the distance from B to C

Answer 1

The statement where it proved that triangle ABC is a right triangle should be option b. The slope of segment AB and the slope of segment BC = -1

Right triangle:

We know that in the right triangle both the legs should be perpendicular to each other also the product of slopes of perpendicular should be - 1.

So based on this, we can say that the slope of segment AB and the slope of segment BC is equivalent to -1

Therefore, the option b is correct.

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