Dilation of Segments and Points

The video tutorial explains how to perform a dilation on a rectangle ABCP with center at P and a scale factor of 1 and 2/3. It details the process of calculating new positions for points A, B, and C, and completing the rectangle after dilation. The tutorial also compares the lengths of segment AB before and after dilation, demonstrating the effect of the scale factor.

What is the scale factor used for the dilation of rectangle ABCP?

• 3

• 1 and 1/2

• 1 and 2/3

• 2

Tags

CCSS.8.G.A.3

What happens to point P after the dilation?

• It moves to a new position

• It becomes the midpoint of AB

• It doubles its distance from the origin

• It remains at the same position

Tags

CCSS.8.G.A.3

How far is point C from P after the dilation?

• 6 units

• 8 units

• 10 units

• 12 units

Tags

CCSS.8.G.A.3

What is the new x-coordinate of point A after dilation?

• 6

• 5

• 4

• 3

Tags

CCSS.8.G.A.3

How does the horizontal distance of point B from P change after dilation?

• It becomes 5 units

• It becomes 4 units

• It becomes 6 units

• It remains the same

Tags

CCSS.8.G.A.3

What is the new vertical distance of point B from P after dilation?

• 12 units

• 10 units

• 8 units

• 6 units

Tags

CCSS.6.G.A.3

What is the original length of segment AB?

• 4 units

• 5 units

• 7 units

• 6 units

Tags

CCSS.8.G.A.3

What is the length of the image of segment AB after dilation?

• 8 units

• 10 units

• 11 units

• 9 units

Tags

CCSS.8.G.A.3

How do you calculate the new position of a point after dilation?

• Divide the distance from the center by the scale factor

• Add the scale factor to the coordinates

• Multiply the distance from the center by the scale factor

• Subtract the scale factor from the coordinates

Tags

CCSS.8.G.A.3

What is the final conclusion about the dilation of rectangle ABCP?

• The rectangle remains unchanged

• The rectangle shrinks

• The rectangle rotates

• The rectangle expands

Tags

CCSS.8.G.A.3