Question

Marco is writing a coordinate proof involving a right isosceles triangle. Marco places his triangle on the coordinate plane such that the base of the triangle lies along the x-axis.

What coordinates should he assign to this third vertex of the isosceles triangle?

(2a, 2b)

(a, b)

(b, a)

(b, b)

Answer 1

Answer: Option B (a,b)

In isosceles Triangle the y-axis coordinate should be b, and for x it should be a, since it is halfway between the a-axis, so a is the x-axis coordinate

Isosceles Triangle:

An Isosceles Triangle has the property of having two equal sides that means if side AC = AB then measure of angle ABC = angle of ABC This also means that segment AC is congruent