If triangle abc is congruent to triangle def, what would be the coordinate of f? triangle abc is shown. for triangle abc, a is at 1, 0, b is at negative 1, 2, c is at 2, 3. two other coordinates are shown. d is at 5, 0, e is at 3, 2.

Possible coordinates of point F are (2,-1) and (6,3).

Step-by-step explanation:

Given two triangles ABC and DEF which are congruent.

we have to find the coordinates of point F while the other are given.

A(1,0), B(-1,2), C(2,3), D(5,0), E(3,2)

Let the coordinates of F are (a,b)

By distance formula,

∵ ΔABC and ΔDEF are congruent

∴ → (1)

→ (2)

Now, we will find the value of a and b of system of equation using calculator and we get the coordinates are (2,-1) and (6,3)

Hence, possible coordinates of F are (2,-1) and (6,3).

you can't solve x because it is 2 linear equation and you only have one equation