Dilations on the Coordinate Plane (8th)

Front

What is a dilation in the context of the coordinate plane?

Back

A dilation is a transformation that alters the size of a figure on the coordinate plane while maintaining its shape.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

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

How do you calculate the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

What are the new coordinates of point A(2, 3) after a dilation with a scale factor of 4?

Back

A'(8, 12) because (2*4, 3*4) = (8, 12).

Front

What happens to the distances between points during a dilation?

Back

The distances between points are multiplied by the scale factor.

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.

Front

What are the coordinates of point B(1, 2) after a dilation of 0.5?

Back

B'(0.5, 1) because (1*0.5, 2*0.5) = (0.5, 1).

Front

In a dilation, what remains constant about the figure?

Back

The shape and the angles of the figure remain constant.