Describe what a translation is.(easy definition)

How are the coordinates of the new point found if it is translated right/left and up/down?

There are three ways to denote a translation. What are the three ways?

What isT(-6,5)(-1, -2)?

Start with the point A (3, 1). Translate the point 1 unit to the left and 4 units down. What are the new coordinates of the point A'? Now translate A' 3 unit to the left and 2 units up. What are the new coordinates of the point A''? What translation would need to be made in order for the result to be the original point A (3, 1)?

Describe what a reflection is.(easy definition)

How are the coordinates of the new point found if it is translated right/left and up/down?

How are the coordinates of a new point found if the point is reflected through the line y = x? How are the coordinates of the new point found if the point is reflected through the origin?

The point X (-3, 6) is a reflection of the point X' (3, -6). What are they reflected through?

Start with the point B (-1, -4). Reflect the point through the y-axis. What are the new coordinates of the point B'? Now reflect the point through the x-axis. What are the new coordinates of the point B''? What is the relationship between the original point B and B''? Can you describe this in terms of one reflection?