Q2 W5 Flashcard 2 (Dilations and Distance Formula)

Front

What is the distance formula used to find the distance between two points A(x1, y1) and B(x2, y2)?

Back

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.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of a length of the new figure to the corresponding length on the original figure.

Front

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

Back

An enlargement occurs when the scale factor is greater than 1.

Front

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

Back

A reduction occurs when the scale factor is less than 1.

Front

What is the result of dilating a figure by a scale factor of 2?

Back

The figure will be twice as large in every dimension.

Front

What is the result of dilating a figure by a scale factor of 0.5?

Back

The figure will be half as large in every dimension.

Front

How do you calculate the distance between points A(3,1) and B(-2,-1)?

Back

Front

What is the significance of 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

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor k?

Back

The new coordinates will be (kx, ky).