When we look at how shapes change in coordinate geometry, we can see how different movements work together. These movements are called transformations. There are four main types: translation, rotation, reflection, and dilation.
Knowing how to combine these transformations helps us see how they affect a shape overall.
Translation: Imagine we have a triangle. Its points are at A(1, 2), B(3, 4), and C(5, 2). If we move (or translate) this triangle to the right by 3 units, the new points will be:
Rotation: Next, let’s rotate this triangle 90 degrees to the left (counterclockwise) around the center point, which is called the origin. After this rotation, the new points will be:
By doing these transformations step by step, we can track where each point goes. This helps us better understand how all the changes work together to shape the triangle!
When we look at how shapes change in coordinate geometry, we can see how different movements work together. These movements are called transformations. There are four main types: translation, rotation, reflection, and dilation.
Knowing how to combine these transformations helps us see how they affect a shape overall.
Translation: Imagine we have a triangle. Its points are at A(1, 2), B(3, 4), and C(5, 2). If we move (or translate) this triangle to the right by 3 units, the new points will be:
Rotation: Next, let’s rotate this triangle 90 degrees to the left (counterclockwise) around the center point, which is called the origin. After this rotation, the new points will be:
By doing these transformations step by step, we can track where each point goes. This helps us better understand how all the changes work together to shape the triangle!