Exploring Dilations in the Coordinate Plane

What does a transformation in math describe?

• A change in the texture of a figure

• The rotation of a figure around a fixed point

• A change in color of a figure

• How a two-dimensional figure moves on a coordinate plane

Tags

CCSS.HSG.CO.A.2

What is a dilation in mathematics?

• A transformation that makes a figure three-dimensional

• A transformation that changes a figure's size but not its shape

• A transformation that changes a figure's orientation

• A transformation that changes a figure's color

Tags

CCSS.8.G.A.3

What is the center of dilation?

• The highest point of the figure

• The lowest point of the figure

• A fixed point in the plane from which all points are expanded or shrunk

• The midpoint of the figure

Tags

CCSS.8.G.A.3

What does a scale factor greater than 1 indicate in a dilation?

• An enlargement

• No change in size

• A change in shape

• A reduction

Tags

CCSS.8.G.A.3

How do you determine if a dilated figure is an enlargement or a reduction?

• By measuring the angles of the dilated figure

• By the color of the dilated figure

• By comparing the scale factor to 1

• By counting the number of vertices

Tags

CCSS.8.G.A.3

What happens to the vertices of a figure when it is dilated on a coordinate plane?

• They move closer to the center of dilation

• Each coordinate of the vertices is multiplied by the scale factor

• The vertices are removed

• They remain unchanged

Tags

CCSS.8.G.A.3

What is the result of dilating a figure with a scale factor of 3?

• The figure rotates 180 degrees

• The figure becomes three times smaller

• The figure's shape changes

• The figure becomes three times larger

Tags

CCSS.8.G.A.3

What does a scale factor of one-half do to a figure?

• It doubles the size of the figure

• It reduces the figure's size by half

• It changes the figure's color

• It makes the figure's angles sharper

Tags

CCSS.8.G.A.3

How can you check if a dilation on a coordinate plane is done correctly?

• By ensuring the dilated figure is a different color

• By checking if lines from the center of dilation pass through corresponding vertices

• By measuring the angles of the dilated figure

• By counting the number of sides

Tags

CCSS.8.G.A.3

What indicates that two figures are similar after a dilation?

• They have the same number of vertices

• Their colors match

• Their sizes are exactly the same

• Their corresponding sides are proportional

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6