Transformations - Translation and Reflections

Front

What is a transformation in geometry?

Back

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

Front

What are the three main types of transformations?

Back

The three main types of transformations are translations, reflections, and rotations.

Front

Define translation in geometry.

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

How do you describe a translation of a point (x, y) to (x+3, y-2)?

Back

The point is translated 3 units to the right and 2 units down.

Front

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

Back

Reflecting a figure over the x-axis means that each point of the figure is flipped over the x-axis, changing the sign of the y-coordinate.

Front

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

Back

Reflecting a figure over the y-axis means that each point of the figure is flipped over the y-axis, changing the sign of the x-coordinate.

Front

What is the result of reflecting a point (3, 4) over the y = x line?

Back

The result is the point (4, 3).

Front

If a trapezoid is translated 5 units down and 4 units to the right, what are the new coordinates of point (2, 3)?

Back

The new coordinates are (6, -2).