Couple of Geometry questions...

Question

Given the following transformation function (x,y) -> (x, y-5), what type motion is this?

1. Rigid
2. Non rigid

Given the following transformation function (x,y) -> (x-2, y+3), how is the x-value being translated?

1. Right 2 units
2. Up 2 units
3. Left 2 units
4. Down 2 units

Given the following transformation function (x,y) -> (x, 4y), if the pre-image is (-2, 3), what is the image?

1. (-2,3)
2. (-2,12)
3. (1,4)

Answer 1

Hello Chris S., Any transformation that adds or subtracts a number to both x and y is a rigid transformation. So the first question is rigid. The third question where y becomes 4y would not be rigid (the shape would change size). In the second question, x becomes x - 2. So the new x is 2 less than the old x. Which way would that move on a graph if you make x smaller? In the third question, the rule says keep x the same and multiply y by 4. So write down what you would get from (-2, 3) which is called the preimage - the starting point.

Tom S.