Understanding Dilation in Geometry

The video tutorial explains the concept of dilation in geometry, focusing on a triangle with a center at point A and a scale factor of one-fourth. It demonstrates how to calculate new points after dilation by determining the distance from the center to other points and applying the scale factor. The tutorial provides examples with points C and B, showing the step-by-step process of finding new coordinates after dilation. The video emphasizes understanding the concept of scale factor and its application in making shapes smaller.

What is the effect of a scale factor of one-fourth on a shape?

• It makes the shape larger.

• It keeps the shape the same size.

• It changes the shape's orientation.

• It makes the shape smaller.

Where is the center of dilation located in this example?

• At point C.

• At point B.

• At point A.

• In the middle of the shape.

How do you determine the distance from point A to point C?

• By measuring the horizontal distance only.

• By measuring the vertical distance only.

• By measuring the diagonal distance.

• By measuring both the horizontal and vertical distances.

What is the new y-coordinate of point C after applying the scale factor?

• 6

• 0

• 4

• 2

What is the new x-coordinate of point C after applying the scale factor?

• -4

• 0

• 2

• 4

How many units do you need to go up to reach point B from point A?

• 4

• 8

• 6

• 2

How many units to the right do you need to go to reach point B from point A?

• 8

• 6

• 10

• 12

What is the new y-coordinate of point B after applying the scale factor?

• 4

• 3

• 2

• 1

What is the new x-coordinate of point B after applying the scale factor?

• -2

• -3

• 3

• 0

What is the result of connecting the new points after dilation?

• A square.

• A smaller triangle.

• A rectangle.

• A larger triangle.