Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

Define translation in geometry.

Back

Translation is a type of rigid transformation that moves every point of a figure the same distance in a specified direction.

Front

What are the coordinates of a point after a translation of 4 units left and 2 units down from (3, 2)?

Back

The new coordinates will be (-1, 0).

Front

How do you translate a point (x, y) 2 units to the left and 5 units down?

Back

The new coordinates will be (x-2, y-5).

Front

What is a reflection in geometry?

Back

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

Front

What are the coordinates of the image of point (2, 3) after reflecting over the x-axis?

Back

The new coordinates will be (2, -3).

Front

How do you reflect a point (x, y) over the y-axis?

Back

The new coordinates will be (-x, y).

Front

What is the result of reflecting the point (4, 1) over the x-axis?

Back

The reflected point is (4, -1).

Front

If triangle ABC is translated left 2 and up 9, what are the new coordinates of point A (1, 2)?

Back

The new coordinates of point A will be (-1, 11).

Front

What is the effect of a translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.