Dilations Flashcardizz

Front

What is a dilation in geometry?

Back

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

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

How do you calculate the coordinates of a dilated point?

Back

To calculate the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Front

If point B(4, 2) is dilated by a scale factor of 3, what are the new coordinates?

Back

B'(12, 6)

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

If triangle ABC with vertices A(1, 1), B(2, 2), and C(3, 3) is dilated by a scale factor of 2, what are the new coordinates of vertex A?

Back

A'(2, 2)

Front

What happens to the shape of a figure during a dilation?

Back

The shape of the figure remains the same; only the size changes.

Front

If a triangle has vertices (2,0), (3,-1), and (-2,-5) and is dilated by a scale factor of 3, what are the coordinates of the new vertices?

Back

(6,0), (9,-3), (-6,-15)

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains unchanged in size.