Scale Factors and Coordinate Transformations

The video tutorial introduces the concept of scale factor, explaining it as a ratio of the side lengths of an image to its pre-image. The teacher guides students through finding the scale factor using coordinates, providing examples and calculations. The tutorial also covers applying the scale factor to determine new coordinates and plotting these points on a graph. The lesson concludes with a brief mention of upcoming exercises and a holiday greeting.

What is a scale factor in geometry?

• A ratio of side lengths

• A measure of time

• A type of angle

• A unit of distance

How is the image represented in a coordinate plane?

• With a circle

• With a square

• With a prime mark

• With a star symbol

What is the purpose of using a prime mark in geometry?

• To indicate a pre-image

• To indicate an image

• To indicate a rotated shape

• To indicate a new shape

What is the first step in finding the scale factor?

• Subtract the coordinates

• Add the coordinates

• Divide the image coordinate by the pre-image coordinate

• Multiply the coordinates

How do you convert a fraction to a decimal?

• Divide the numerator by the denominator

• Add the numerator and denominator

• Multiply the numerator by the denominator

• Subtract the denominator from the numerator

If the image coordinate is -3 and the pre-image is -2, what is the scale factor?

• 3

• 0.5

• 1.5

• 2

What is the scale factor if the image coordinate is 4 and the pre-image is 1?

• 1

• 2

• 4

• 3

What is the scale factor if the image coordinate is 3 and the pre-image is 2?

• 1.5

• 2

• 3

• 0.5

What is the scale factor if the image coordinate is 6 and the pre-image is 3?

• 4

• 3

• 2

• 1

What is the scale factor if the image coordinate is 8 and the pre-image is 2?

• 3

• 2

• 1

• 4