Scale Factors and Geometric Transformations

Dr. Nelson's video lesson covers the concept of making scaled copies in geometry. It introduces key terms like corresponding parts and scale factor, explaining how they determine if one shape is a scaled copy of another. The lesson demonstrates the effects of scale factors greater than, less than, and equal to one, using practical examples to illustrate how shapes change in size while maintaining their proportions.

What is a scaled copy?

• A shape that has the same shape but a different size compared to the original.

• A shape that is identical in size and shape to the original.

• A shape that is only smaller than the original.

• A shape that is only larger than the original.

What are corresponding parts in geometry?

• Parts of a shape that are different in size.

• Parts of a shape that match up with parts of another shape.

• Parts of a shape that are identical in size.

• Parts of a shape that are only angles.

What happens when the scale factor is exactly one?

• The new shape is identical in size to the original.

• The new shape is distorted.

• The new shape is smaller than the original.

• The new shape is larger than the original.

If a scale factor is greater than one, what is the result?

• The new shape is smaller than the original.

• The new shape is larger than the original.

• The new shape is identical to the original.

• The new shape is distorted.

How do you create a scaled copy with a scale factor of two?

• Subtract two from each side of the shape.

• Add two to each side of the shape.

• Divide each side of the shape by two.

• Multiply each side of the shape by two.

What is the result of using a scale factor less than one?

• The new shape is identical to the original.

• The new shape is smaller than the original.

• The new shape is larger than the original.

• The new shape is distorted.

How do you calculate the new side lengths when the scale factor is 1/4?

• Add 1/4 to each side.

• Multiply each side by 1/4.

• Divide each side by 4.

• Multiply each side by 4.

What does a scale factor of 1.25 do to a shape?

• Keeps the shape the same size.

• Distorts the shape.

• Makes the shape smaller.

• Makes the shape slightly larger.

How do you find the new dimensions with a scale factor of 1.25?

• Divide each dimension by 1.25.

• Subtract 1.25 from each dimension.

• Add 1.25 to each dimension.

• Multiply each dimension by 1.25.

What is the effect of a scale factor greater than one on a rectangle?

• The rectangle becomes smaller.

• The rectangle becomes larger.

• The rectangle remains the same size.

• The rectangle becomes distorted.