Understanding Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that moves a figure without changing its size or shape.

Front

What happens to the coordinates of a point after a reflection over the x-axis?

Back

The y-coordinate changes sign, while the x-coordinate remains the same.

Front

If a triangle has vertices at (1,2), (3,4), and (5,2), what are the new coordinates after reflecting (3,4) over the x-axis?

Back

(3,-4)

Front

What is the result of rotating a figure 180 degrees about the origin?

Back

The figure is turned upside down, and the coordinates of each point are negated.

Front

Is a rotation considered a rigid transformation? Why?

Back

Yes, because it does not change the size or shape of the figure.

Front

What is the effect of a dilation on a figure?

Back

It changes the size of the figure but not its shape.

Front

What is the difference between a rigid transformation and a dilation?

Back

A rigid transformation preserves size and shape, while a dilation changes size.

Front

What is the definition of reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What does it mean for two figures to be congruent?

Back

They have the same size and shape.

Front

How do you determine if a transformation is rigid?

Back

If the transformation preserves the size and shape of the figure.