Translation is a special kind of movement in math. It’s different from other movements like rotation or reflection. Let’s break it down:
Just Movement: Translation is all about moving a shape on a graph. For example, if you take a triangle and move it from one spot, say (x, y), to a new spot at (x + a, y + b), every point on the triangle moves the same way.
Shape Stays the Same: The triangle doesn’t change at all. Its size and how it looks stay the same. This is different from rotation, where a shape spins around a point.
Using Vectors: We often write translation using vectors, like (\begin{pmatrix} a \ b \end{pmatrix}). This tells us how far and in what direction the shape should move.
These features make translation a simple but very important idea when we talk about moving shapes!
Translation is a special kind of movement in math. It’s different from other movements like rotation or reflection. Let’s break it down:
Just Movement: Translation is all about moving a shape on a graph. For example, if you take a triangle and move it from one spot, say (x, y), to a new spot at (x + a, y + b), every point on the triangle moves the same way.
Shape Stays the Same: The triangle doesn’t change at all. Its size and how it looks stay the same. This is different from rotation, where a shape spins around a point.
Using Vectors: We often write translation using vectors, like (\begin{pmatrix} a \ b \end{pmatrix}). This tells us how far and in what direction the shape should move.
These features make translation a simple but very important idea when we talk about moving shapes!