Rigid Translation Practice

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This is practice for understanding/identifying rigid translations geometrically.

1 : Consider the following graph and it’s transformation:

Original Curve

Transformed Curve

Is this transform a rigid translation?

No Yes

1.1 : Why not?

Because it didn’t move anywhere Because the function still has the same general shape. Because the function has been compressed to a different shape. Because the function got shorter, but not thinner.

2 : Consider the following graph and it’s transformation:

Original Curve

Transformed Curve

Is this transform a rigid translation?

No Yes

2.1 : Why not?

Because it didn’t move anywhere Because the function still has the same general shape. Because the function has been compressed to a different shape. Because the function has flipped, which isn’t just a slide.

3 : Consider the following graph and it’s transformation:

Original Curve

Transformed Curve

Is this transform a rigid translation?

No Yes

3.1 : Why?

Because it slid up and right, but maintained it’s rigid structure Because the function still has the same number of direction changes. Because the function has been moved. Because the function has not flipped, which isn’t just a slide.