Use the given coordinates to determine

Question

Use the given coordinates to determine if ABC = DEF.

  A(1, 1), B(2, 0),C(1, –1), D(3, 1), E(4, 0), F(3, –1)

Answer 1

Graph them, and it's fairly clear they are the same triangle with the 2nd triangle as the first just shifted to the right by 2.

Each is a right triangle, with two sides = square root of two and hypotenuse = 2

Both are the same area, same length of sides, same angles.

Just draw the first triangle, then move it to the right by 2 and you have the 2nd triangle.

The coordinate of the y values are all the same for both triangles. The x coordinates are 2 greater for the 2nd triangle.