Exploring Transformations: Enlargement in Mathematics

This video tutorial covers the concept of enlargement in geometric transformations. It explains how enlargement changes the size of a shape while maintaining angle and length ratios. The tutorial details the importance of the scale factor and the center of enlargement, providing step-by-step instructions on how to find them. It also addresses how to handle negative and fractional scale factors, offering examples and solutions. The video concludes with encouragement to engage with the content and share knowledge.

What remains unchanged when a shape is enlarged?

• The position of the shape

• The color of the shape

• The angles and length ratios

• The size of the shape

What is the scale factor in an enlargement?

• The number of times the shape is translated

• The number of times the size of the new shape is compared to the old shape

• The number of times the shape is reflected

• The number of times the shape is rotated

What is the center of enlargement?

• The point from which the shape is enlarged

• The point where the shape is translated

• The point where the shape is rotated

• The point where the shape is reflected

What is the first step in enlarging a shape by a given scale factor?

• Draw straight lines between the center of enlargement and each point of the original shape

• Measure the angles of the original shape

• Change the color of the shape

• Rotate the shape

How do you find the new distance of a point after enlargement?

• Divide the original distance by the scale factor

• Multiply the original distance by the scale factor

• Add the original distance to the scale factor

• Subtract the original distance from the scale factor

How can you determine the scale factor if it is not given?

• Multiply the new length by the original length

• Divide the new length by the original length

• Add the new length to the original length

• Subtract the new length from the original length

What is the scale factor if the new length is 6 and the original length is 2?

• 3

• 2

• 4

• 6

What happens to a shape when it is enlarged by a negative scale factor?

• It becomes smaller and stays in the same position

• It becomes larger and stays in the same position

• It becomes larger and flips to the other side of the center of enlargement

• It becomes smaller and flips to the other side of the center of enlargement

How do you handle a fractional scale factor in enlargement?

• Subtract the fraction from the distance

• Add the fraction to the distance

• Divide the distance by the fraction

• Multiply the distance by the fraction

What is the scale factor if the new length is 3 and the original length is 6?

• 1/2

• 2

• 1/3

• 3