Introduction to Enlargements and Scale Factors

The video tutorial explains the concept of enlargements as part of mathematical transformations, alongside reflections, rotations, and translations. It details how enlargements create similar shapes by resizing them according to a scale factor from a specific point. The tutorial covers calculating scale factors, performing enlargements using the translation method, and understanding negative scale factors, which result in inverted shapes.

Which of the following transformations involves resizing a shape while maintaining angle measures?

• Enlargement

• Translation

• Rotation

• Reflection

What is the term for the point from which an enlargement is performed?

• Center of Enlargement

• Projection Point

• Origin

• Vertex

If a shape is enlarged with a scale factor of 0.5, what happens to its size?

• It triples in size

• It remains the same

• It doubles in size

• It becomes half its original size

How is the scale factor calculated?

• Difference between original and new shape

• Original shape divided by new shape

• New shape divided by original shape

• Sum of original and new shape

What is the scale factor if a triangle with a base of 4 is enlarged to a base of 8?

• 4

• 2

• 1

• 0.5

In the translation method, what is done to the vector notation to find the new position of a shape?

• Add the scale factor

• Divide by the scale factor

• Subtract the scale factor

• Multiply by the scale factor

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

• It remains unchanged

• It flips and enlarges in the opposite direction

• It reflects

• It rotates

Which analogy is used to explain negative enlargements?

• A mirror

• Vision and the eye

• A projector

• A magnifying glass

What is the result of enlarging a shape with a scale factor of -2?

• The shape rotates 180 degrees

• The shape doubles in size and flips

• The shape halves in size and flips

• The shape remains the same

What distinguishes a negative enlargement from a reflection?

• The shape is rotated

• The shape remains the same size

• The shape is congruent

• The shape is similar but flipped