Q2 W5 IA (Dilation)

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape the same. It is defined by a center of dilation and a scale factor.

Front

What is the scale factor in dilation?

Back

Front

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

Back

All dimensions of the figure are multiplied by 2, making the figure twice as large.

Front

What are the coordinates of point A(3,3) after dilation by a scale factor of 3?

Back

A'(9,9) because both x and y coordinates are multiplied by 3.

Front

What is the formula to find the new coordinates after dilation?

Back

For a point (x,y) and a scale factor k, the new coordinates are (kx, ky).

Front

If a point (8, 12) is dilated to (2, 3), what is the scale factor?

Back

Front

True or False: A dilation produces a congruent figure.

Back

False. A dilation produces a similar figure, not a congruent one.

Front

What happens to the angles of a figure during dilation?

Back

The angles remain unchanged during dilation.

Front

If a figure is dilated by a scale factor of 1/2, what happens to its size?

Back

The figure is reduced to half its original size.

Front

What is the center of dilation?

Back

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