Understanding Scale Factors in Triangles

The video tutorial explains how to find the scale factor by dividing the image length by the original length. It demonstrates matching corresponding sides of similar triangles and calculating the scale factor using different side lengths. The tutorial includes examples of both enlarging and reducing triangles, showing how to handle cases where the scale factor is a fraction.

What is the scale factor defined as?

• Sum of image and original lengths

• Difference between image and original lengths

• Image length divided by original length

• Original length divided by image length

When identifying corresponding sides in similar triangles, which sides should be matched first?

• The shortest sides

• The sides with equal length

• Any sides can be matched

• The longest sides

If the image length is 6 and the original length is 3, what is the scale factor?

• 1

• 0.5

• 2

• 3

Which of the following is a correct way to calculate the scale factor?

• Using the difference of the longest side lengths

• Using the product of the side lengths

• Using the sum of all side lengths

• Using the ratio of any corresponding side lengths

If a triangle's side lengths are 10 and 5, what is the scale factor?

• 5

• 2

• 1

• 0.5

If the scale factor is 2, what does it imply about the image and original lengths?

• The image is smaller than the original

• The image and original are the same size

• The image is twice the size of the original

• The image is half the size of the original

How do you determine the scale factor when given two similar triangles?

• By adding the side lengths of both triangles

• By dividing the image length by the original length

• By multiplying the side lengths of both triangles

• By subtracting the original length from the image length

Which of the following is NOT a method to find the scale factor?

• Using the ratio of corresponding side lengths

• Using the sum of all side lengths

• Using the ratio of the shortest sides

• Using the ratio of the longest sides

In a pair of similar triangles, if the larger triangle becomes a smaller triangle, what can the scale factor be?

• Greater than 1

• Equal to 1

• Less than 1

• Negative

What is the scale factor if the image length is 3 and the original length is 4?

• 1

• 3/4

• 4/3

• 1/3