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 and angles remain unchanged.

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translation, rotation, and reflection.

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that slides a figure from one position to another without turning it.

Front

What is reflection in rigid transformations?

Back

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

Front

What is rotation in rigid transformations?

Back

Rotation is a rigid transformation that turns a figure around a fixed point at a certain angle.

Front

How do you determine the coordinates of a point after translation?

Back

To determine the new coordinates after translation, add the translation values to the original coordinates.

Front

If point A is at (2, 3) and is translated 3 units left and 2 units down, what are the new coordinates?

Back

The new coordinates are (-1, 1).

Front

What does it mean to reflect a figure over the y-axis?

Back

Reflecting a figure over the y-axis means that for every point (x, y) in the figure, the new point will be (-x, y).

Front

If a triangle is rotated 90 degrees clockwise around the origin, how do the coordinates change?

Back

The coordinates change from (x, y) to (y, -x) after a 90-degree clockwise rotation.

Front

What is the effect of translating a figure 5 units to the right?

Back

Translating a figure 5 units to the right means adding 5 to the x-coordinate of each point in the figure.