Translate a Shape on a Grid

Translate a Shape on a Grid

Translating a shape means sliding it to a new place without turning it, flipping it, or changing its size. Every point on the shape moves the same distance in the same direction.

1) Find the movement

Look at one point on the original shape and its matching point on the translated shape. Count how many grid units it moves:

• left or right for the horizontal change
• up or down for the vertical change

Write the movement as a pair such as “right 3, up 2.”

2) Move every vertex the same way

Take each corner of the shape and apply the same shift. If a point starts at ((x, y)), move it by the same horizontal and vertical amounts to get the new location.

3) Draw the translated shape

Plot each new point carefully on the grid, then connect the points in the same order as the original shape.

4) Check your work

A correct translation keeps:

• side lengths the same
• angle sizes the same
• the shape’s orientation the same

If any part is flipped or turned, it is not a translation. Recount the grid steps if needed and simplify the final answer by giving the exact new positions clearly.