Rigid Transformation Review

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, including translations, rotations, and reflections.

Front

What is translation in geometry?

Back

Translation is 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 point (x, y) by (a, b)?

Back

To translate a point (x, y) by (a, b) means to move it to the new position (x + a, y + b).

Front

What is the image of a figure after a transformation?

Back

The image of a figure after a transformation is the new position of the figure after it has been moved, rotated, or reflected.

Front

How do you identify the image of a triangle after a transformation?

Back

The image of a triangle can be identified by its new vertices' coordinates after the transformation has been applied.

Front

What is a rotation in geometry?

Back

A rotation is a rigid transformation that turns a figure around a fixed point, known as the center of rotation.

Front

What is reflection in geometry?

Back

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

Front

If a triangle is translated left 2 and up 9, what are the new coordinates of point A(3, 4)?

Back

The new coordinates of point A would be (3 - 2, 4 + 9) = (1, 13).

Front

What happens to the coordinates of a point when it is translated up 6?

Back

When a point is translated up 6, its y-coordinate increases by 6, while the x-coordinate remains the same.

Front

How can you determine if two triangles are congruent after a transformation?

Back

Two triangles are congruent if they have the same size and shape, which can be verified by comparing their corresponding sides and angles.