Exploring Scale Factor Concepts

What is a scale factor in the context of similar shapes?

• The sum of all angles in similar shapes

• The perimeter ratio of similar shapes

• The difference in area between two shapes

• The ratio of corresponding lengths in similar shapes

If two triangles are similar and the sides of one are 3 and 6, what is the scale factor from the smaller to the larger?

• 1 to 2

• 2 to 1

• 3 to 6

• 6 to 3

What does a scale factor of 1 indicate about two geometric figures?

• The figures have no relation

• One figure is twice the size of the other

• The figures are similar but not congruent

• The figures are congruent

What is the scale factor if the corresponding sides of two similar figures are 4 and 8?

• 1 to 2

• 2 to 1

• 4 to 8

• 8 to 4

What does a scale factor less than 1 imply about the transformation of a shape?

• The shape is translated

• The shape is reduced

• The shape is rotated

• The shape is enlarged

If a square's side length changes from 6 to 2, what is the scale factor?

• 3

• 1/3

• 6/2

• 2/6

What does a scale factor greater than 1 indicate about a shape's transformation?

• The shape is unchanged

• The shape is reduced

• The shape is enlarged

• The shape is rotated

In the context of rectangles, if one rectangle has a side length of 8 and the corresponding side in another is 2, what is the scale factor?

• 8 to 2

• 1 to 4

• 4 to 1

• 2 to 8

For two triangles, if the larger has a side of 12 and the smaller has a side of 2, what is the scale factor?

• 2/12

• 12/2

• 6

• 1/6

If a shape is enlarged, what can be said about its scale factor?

• It cannot be determined

• It is greater than 1

• It is equal to 1

• It is less than 1