Question

Marco is writing a coordinate proof for one of the properties of an isosceles triangle. He begins by assigning coordinates to two of the vertices of an isosceles triangle as shown.

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

(a, b)(a, b)

(b, a)(b, a)

(b, b)(b, b)

(2a, 2b)

Answer 1

Just took the test and I got the answer correct. :)))

Explanation:

Look at the answer in the picture below!!

Answer 2

If the base of the isosceles triangle lies on the x axis and one of the base angles is located on the origin, then the third vertex would lie somewhere in Quadrant I. If the coordinate of the second base angle is (2a, 0), then the coordinates that should be assigned to the third vertex of the isosceles triangle is (a, b).