John draws a square on a coordinate plane. Then, he draws an image of the square 3 units to the right of the original square. What is true about the corresponding sides of the original figure and the image?
since all he did was move the square, all lengths and angles remain the same.
To determine what is true about the corresponding sides of the original square and the image, we need to understand the concept of transformations in a coordinate plane.
In this case, John has transformed the original square by translating it 3 units to the right. This is known as a translation, which means moving an object without changing its shape or size.
When an object is translated horizontally, the corresponding sides of the original figure and the image will remain parallel and have the same length. Therefore, the corresponding sides of the original square and the image will be congruent (meaning they have the same length).
In summary, when a square is translated horizontally, the corresponding sides of the original square and the image will remain parallel and have the same length.