Translations, Reflections, Rotations, and Dilations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How do you describe the translation of triangle ABC to triangle A'B'C'?

Back

The translation is down 9 units and right 4 units.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What does the term 'scale factor' refer to in dilations?

Back

The scale factor is the ratio of the size of the image to the size of the pre-image.

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

The new point is (kx, ky).

Front

What is the difference between an enlargement and a reduction in terms of dilation?

Back

An enlargement increases the size of the figure (scale factor > 1), while a reduction decreases the size (scale factor < 1).

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

How can you determine the scale factor if a point (8, 12) is dilated to (2, 3)?

Back

The scale factor is 1/4, calculated by comparing the coordinates: (2/8) = (3/12) = 1/4.

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 a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a specified angle.