Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define translation in geometry.

Back

A type of rigid transformation that slides a figure from one position to another without turning it.

Front

What does it mean to translate a figure 2 units left and 5 units up?

Back

The figure's position is moved 2 units to the left on the x-axis and 5 units up on the y-axis.

Front

What is a reflection in geometry?

Back

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

Front

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

Back

Add the translation values to the original coordinates. For example, translating (x, y) by (a, b) results in (x+a, y+b).

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the angle of rotation for a 180-degree rotation?

Back

The figure is turned halfway around the center point, resulting in an upside-down orientation.

Front

What is the difference between translation and rotation?

Back

Translation moves a figure without changing its orientation, while rotation turns a figure around a point.

Front

If a triangle is translated 3 units right and 4 units down, what are the new coordinates of point (2, 3)?

Back

The new coordinates are (2+3, 3-4) = (5, -1).

Front

What is the line of symmetry in a reflection?

Back

The line that acts as a mirror, where each point on one side of the line has a corresponding point on the other side.