Transformations on the coordinate plane are really cool! They let us change how shapes look and where they are. Let's break down some common types of transformations: translation, rotation, reflection, and enlargement.
Translation is when we slide a shape from one spot to another. The size and shape don't change at all.
For example, if we have a triangle with points at (1, 2), (3, 4), and (5, 6) and we move it two units to the right and one unit up, the new points become (3, 3), (5, 5), and (7, 7).
Rotation is when we turn a shape around a fixed point. This point is often the center of the shape or the origin (0, 0).
For example, if we rotate a square 90 degrees to the left around the origin, the point (1, 0) would move to (0, 1). The square changes position, but it stays the same size and shape.
Reflection is like flipping a shape over a line, like the x-axis or y-axis.
For instance, if we reflect the point (4, 3) over the x-axis, it changes to (4, -3). The shape looks flipped but stays the same.
Enlargement makes a shape bigger while keeping its proportions.
For example, if we enlarge a rectangle by a scale factor of 2, the point (2, 1) would become (4, 2). The shape gets larger, but still looks the same.
Knowing about these transformations helps us see and change shapes on the coordinate plane better. Each transformation—slide, turn, flip, or grow—adds some fun to how we understand geometry!
Transformations on the coordinate plane are really cool! They let us change how shapes look and where they are. Let's break down some common types of transformations: translation, rotation, reflection, and enlargement.
Translation is when we slide a shape from one spot to another. The size and shape don't change at all.
For example, if we have a triangle with points at (1, 2), (3, 4), and (5, 6) and we move it two units to the right and one unit up, the new points become (3, 3), (5, 5), and (7, 7).
Rotation is when we turn a shape around a fixed point. This point is often the center of the shape or the origin (0, 0).
For example, if we rotate a square 90 degrees to the left around the origin, the point (1, 0) would move to (0, 1). The square changes position, but it stays the same size and shape.
Reflection is like flipping a shape over a line, like the x-axis or y-axis.
For instance, if we reflect the point (4, 3) over the x-axis, it changes to (4, -3). The shape looks flipped but stays the same.
Enlargement makes a shape bigger while keeping its proportions.
For example, if we enlarge a rectangle by a scale factor of 2, the point (2, 1) would become (4, 2). The shape gets larger, but still looks the same.
Knowing about these transformations helps us see and change shapes on the coordinate plane better. Each transformation—slide, turn, flip, or grow—adds some fun to how we understand geometry!