Triangle Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

What does the scale factor (k) represent in a dilation?

Back

The scale factor (k) represents the ratio of the length of a side of the new figure to the length of the corresponding side of the original figure.

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What is the center of dilation?

Back

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

Front

How do you find the coordinates of a dilated point (x, y) with a scale factor of k?

Back

Multiply both coordinates by the scale factor: (kx, ky).

Front

What is the algebraic expression for a dilation with a scale factor of 2?

Back

(x, y) → (2x, 2y).

Front

What happens to the angles of a figure during dilation?

Back

The angles remain the same during dilation.

Front

Does dilation affect the congruence of figures?

Back

No, dilation does not affect the congruence of figures; it only changes their size.

Front

What is the scale factor if the original length is 5 and the new length is 10?

Back

The scale factor is 2.