Ch 1B: Transformations Review

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 produce a new shape.

Front

What are the four main types of transformations?

Back

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

Front

Define translation in geometry.

Back

Translation is a transformation that slides a figure from one position to another without turning it.

Front

What does it mean to reflect a figure?

Back

To reflect a figure means to flip it over a line, creating a mirror image.

Front

How do you represent a translation of 4 units left?

Back

The algebraic representation is (x, y) --> (x-4, y).

Front

What is the effect of a rotation of 90 degrees clockwise on the coordinates (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is a number that describes how much a figure is enlarged or reduced.

Front

If a figure is dilated by a scale factor of 2, what happens to its size?

Back

The figure is enlarged to twice its original size.

Front

What is the algebraic representation for reflecting a figure over the x-axis?

Back

The representation is (x, y) --> (x, -y).

Front

What does it mean to rotate a figure 180 degrees?

Back

Rotating a figure 180 degrees results in the coordinates changing from (x, y) to (-x, -y).