transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the three main types of transformations?

Back

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

Front

What does it mean for shapes to be congruent?

Back

Shapes are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is a translation?

Back

A translation is a transformation that slides a shape from one position to another without turning it.

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

What is a reflection?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What does it mean to rotate a shape 90 degrees clockwise?

Back

Rotating a shape 90 degrees clockwise means turning it 90 degrees to the right around a fixed point.

Front

What does it mean to rotate a shape 180 degrees counterclockwise?

Back

Rotating a shape 180 degrees counterclockwise means turning it halfway around a fixed point, resulting in an upside-down image.

Front

How do you find the coordinates of a point after a 180-degree rotation about the origin?

Back

To find the new coordinates, change the sign of both the x and y coordinates of the point.

Front

What is a 'mirror image' in geometry?

Back

A mirror image is the reflection of a shape over a line, where each point of the shape is the same distance from the line as its corresponding point in the image.