Chapter 4 Review: Transformations

Front

What is a similarity transformation?

Back

A similarity transformation is a transformation that alters the size of a figure but maintains its shape, such as dilation, reflection, or rotation.

Front

What is the definition of a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

How do you reflect a point over the line y = x?

Back

To reflect a point (a, b) over the line y = x, swap the coordinates to get (b, a).

Front

What is the result of reflecting the point D (-9, -12) over the line y = -x?

Back

The result is the point (12, 9).

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

A scale factor greater than 1 enlarges the figure.

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

A scale factor less than 1 reduces the size of the figure.

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.