M8-Unit 7 Review (Dilations & Similar Figures)

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but maintains its shape, either enlarging or reducing it.

Front

What does a scale factor of 1 indicate in a dilation?

Back

The figure remains the same size; there is no change.

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 scale factor for an enlargement?

Back

A scale factor greater than 1.

Front

What is the scale factor for a reduction?

Back

A scale factor less than 1.

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a dilation by a scale factor of 2?

Back

(2, 4), (6, 8), (10, 12).

Front

How do you determine if two figures are similar?

Back

If their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the relationship between the scale factor and the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If a figure is dilated by a scale factor of 1/2, what type of transformation is this?

Back

A reduction.

Front

What is the effect of a scale factor of 3 on a shape?

Back

The shape is enlarged to three times its original size.