Mission1: Rigid Transformations and Congruence

Front

What is a rigid transformation?

Back

A rigid transformation is a movement of a figure in a plane that preserves its shape and size. Examples include translations, rotations, and reflections.

Front

Define translation in geometry.

Back

Translation is a type of rigid transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning one can be transformed into the other through rigid transformations.

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

Explain rotation in the context of rigid transformations.

Back

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

Front

What is the effect of translating a shape 5 units down and 5 units to the right?

Back

The shape moves 5 units down vertically and 5 units to the right horizontally, maintaining its orientation and size.

Front

If a 115 degree angle is translated, what happens to its measure?

Back

The measure of the angle remains the same; it is still 115 degrees after translation.

Front

What is the rule for reflection across the y-axis?

Back

The rule for reflection across the y-axis is that each point (x, y) is transformed to (-x, y).

Front

How can you determine if two shapes are congruent?

Back

You can determine if two shapes are congruent by checking if one can be obtained from the other through a series of rigid transformations.

Front

What is the difference between rotation and dilation?

Back

Rotation is a rigid transformation that changes the position of a shape without altering its size, while dilation changes the size of a shape but not its shape.