8Assets Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure's dimensions remain unchanged.

Front

What are the three main types of rigid transformations?

Back

The three main types of rigid transformations are translations, rotations, and reflections.

Front

How does a reflection across the x-axis affect the coordinates of a point (x, y)?

Back

A reflection across the x-axis changes the coordinates to (x, -y).

Front

What are the new coordinates of point A (7, -3) after reflecting across the x-axis?

Back

The new coordinates of point A' are (7, 3).

Front

What is the effect of translating a point 3 units to the left and 9 units down on its coordinates (x, y)?

Back

The new coordinates will be (x - 3, y - 9).

Front

If point X is at (1, 4) and is translated 3 units left and 9 units down, what are the new coordinates?

Back

The new coordinates of point X' will be (-2, -5).

Front

What happens to a point when it is reflected across the y-axis?

Back

A reflection across the y-axis changes the coordinates of a point (x, y) to (-x, y).

Front

What is the result of rotating a point 360 degrees around a center point?

Back

Rotating a point 360 degrees returns it to its original position.

Front

What is the definition of a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is the effect of a reflection across the line y = x on the coordinates (x, y)?

Back

A reflection across the line y = x changes the coordinates to (y, x).