Understanding Dilations in Geometry

What is the scale factor of the dilation from the pentagon example?

• 2/3

• 1/3

• 1/2

• 3/4

Tags

CCSS.8.G.A.3

What does a dilation in geometry involve?

• Shifting the figure without changing its size

• Changing the figure's size without altering its shape

• Rotating the figure around a fixed point

• Reflecting the figure over a line

Tags

CCSS.8.G.A.3

What happens to the distances between corresponding points in a dilation?

• They change according to the scale factor

• They increase by the scale factor

• They decrease by the scale factor

• They remain constant

Tags

CCSS.8.G.A.3

What is the purpose of determining the scale factor in a dilation?

• To find the center of dilation

• To calculate the perimeter of the dilated figure

• To understand how the size of the figure changes

• To compare the angles of the original and dilated figures

Tags

CCSS.8.G.A.3

How do you determine the scale factor when dealing with non-vertical or horizontal lines?

• By comparing the changes in x and y coordinates

• By calculating the perimeter ratio

• By measuring the angle change

• By comparing the area of the figures

Tags

CCSS.7.G.A.1

If the change in y is -3 and the change in x is 3, what would be the changes in a dilation with a scale factor of 1/3?

• Change in y: -1, Change in x: 1

• Change in y: -9, Change in x: 9

• Change in y: 1, Change in x: -1

• Change in y: 0, Change in x: 0

Tags

CCSS.8.G.A.3

What is the length of segment A'E' if the scale factor is 5/2 and AE is 2 units?

• 5 units

• 10 units

• 2.5 units

• 7 units

Tags

CCSS.7.G.A.1

How do you calculate the length of a segment in the dilated figure when the original length and scale factor are known?

• Original length / Scale factor

• Original length + Scale factor

• Scale factor / Original length

• Original length * Scale factor

Tags

CCSS.8.G.A.3

How can you find the length of segment AB if A'B' is 8 units and the scale factor is 2?

• 4 units

• 2 units

• 8 units

• 16 units

Tags

CCSS.7.G.A.1

If the length of segment A'B' is twice the length of segment AB, what is the scale factor of the dilation?

• 4

• 1

• 2

• 1/2

Tags

CCSS.8.G.A.3