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 by a scale factor, while maintaining the shape and the relative positions of the points.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that determines how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 indicates enlargement, while a scale factor between 0 and 1 indicates reduction.

Tags

CCSS.8.G.A.3

Front

How do you find the coordinates of a point after dilation?

Back

To find the coordinates of a point after dilation, multiply each coordinate of the original point by the scale factor.

Tags

CCSS.8.G.A.3

Front

If point A(3, 6) is dilated by a scale factor of 2, what are the new coordinates?

Back

The new coordinates of A' are (6, 12).

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 1/2?

Back

The coordinates of the point are multiplied by 1/2, resulting in a reduction in size.

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point B(-3, 2) after dilation by a scale factor of 1/2?

Back

The new coordinates of B' are (-1.5, 1).

Tags

CCSS.8.G.A.3

Front

If triangle ABC has vertices A(2, 4), B(4, 8), and C(6, 12), what are the coordinates of C' after a dilation by a scale factor of 1/2?

Back

The coordinates of C' are (3, 6).

Tags

CCSS.8.G.A.3

Front

What is the effect of a dilation with a scale factor of 3 on point B(0, 4)?

Back

The new coordinates of B' after dilation by a scale factor of 3 are (0, 12).

Tags

CCSS.8.G.A.3

Front

What does it mean when a dilation has a scale factor greater than one?

Back

It means that the figure is being enlarged.

Tags

CCSS.8.G.A.3

Front

What does it mean when a dilation has a scale factor less than one?

Back

It means that the figure is being reduced.

Tags

CCSS.8.G.A.3