A triangle has a side that is six units long how long will the side be after the figure is translated to the left two units and down three units

Answer 1

If the triangle is translated 2 units to the left and 3 units down, all the coordinates of the triangle will be shifted by the same amounts.

Let's suppose the triangle has three vertices A(x1, y1), B(x2, y2), and C(x3, y3).

After translating the triangle 2 units to the left, the new coordinates of the vertices will be A(x1 - 2, y1), B(x2 - 2, y2), and C(x3 - 2, y3).

Then, after translating the triangle 3 units down, the final coordinates of the vertices will be A(x1 - 2, y1 - 3), B(x2 - 2, y2 - 3), and C(x3 - 2, y3 - 3).

Therefore, the length of the side of the triangle would remain the same, as all the vertices are shifted the same amount, and only their positions are changed.