Understanding Scaled Copies and Scale Factors

The video reviews the concept of scaled copies, emphasizing that they maintain the same shape but differ in size. It introduces the scale factor, a multiplicative relationship between the side lengths of the original and the scaled copy. The video demonstrates methods to find the scale factor using tables and a formula, and highlights that corresponding angles in scaled copies remain the same. A practice problem is solved to reinforce understanding.

What is a scaled copy of a shape?

• A shape that is the same shape but different size

• A shape that is both different in size and shape

• A shape that is the same size but different shape

• A shape that is distorted in size and shape

What is the term for the number that multiplies the side lengths of the original shape to create a scaled copy?

• Proportional constant

• Scale factor

• Size factor

• Multiplicative constant

When organizing side lengths in a table to find the scale factor, what should you ensure?

• All sides are listed in random order

• Corresponding sides are matched

• The table is filled with arbitrary numbers

• Only the longest sides are compared

If the original side length is 4 and the scaled copy side length is 12, what is the scale factor?

• 4

• 3

• 2

• 6

What is the formula to find the scale factor?

• K = X times Y

• K = Y minus X

• K = X over Y

• K = Y over X

In a scaled copy, how do the angle measures compare to the original?

• They are always larger

• They vary randomly

• They are always smaller

• They remain the same

If a side of the original shape is 5 and the corresponding side of the scaled copy is 2.5, what is the scale factor?

• 2.5

• 2

• 1

• 0.5

What happens to the angle measures in a scaled copy?

• They become zero

• They remain unchanged

• They halve

• They double

What is the scale factor if the original side is 6 and the scaled copy side is 3?

• 0.5

• 2

• 1.5

• 1

Which of the following is true about the angles in a scaled copy?

• They are different from the original

• They are the same as the original

• They are twice the original

• They are half the original