Scale Factors and Dilation Concepts

This lesson reviews the use of circular grids in geometry, focusing on the center of dilation and scale factors. It explains how points and images move on a circular grid, using various scale factors to demonstrate dilation. The lesson includes examples with different scale factors, such as two, two and a half, and three and a half, to illustrate how images are scaled. It also covers the dilation of triangles, showing how each point moves based on the scale factor. The lesson concludes with a summary of using circular grids, scale factors, and the center of dilation.

What is the center of dilation in a circular grid?

• The outermost circle

• The innermost circle

• The center point of the grid

• The point where two lines intersect

If a point is moved double the distance from the center, what is the scale factor?

• 4

• 1

• 2

• 3

How many units is a point moved if the scale factor is 2.5 and the original distance is 2 units?

• 6 units

• 3 units

• 4 units

• 5 units

What is the scale factor if a point is moved from 1 unit to 3.5 units?

• 3.5

• 3

• 2.5

• 2

In the example of transforming triangles, what is the scale factor used?

• 4

• 3

• 2

• 1

If point A is 3 units from the center, how far is A' if the scale factor is 2?

• 5 units

• 4 units

• 3 units

• 6 units

What is the distance of B' from the center if B is 3 units away and the scale factor is 2?

• 6 units

• 5 units

• 4 units

• 3 units

If C is 4 units from the center, how far is C' with a scale factor of 2?

• 8 units

• 9 units

• 7 units

• 6 units

What is the main concept reviewed in the lesson summary?

• Linear equations

• Circular grids and scale factors

• Probability and statistics

• Algebraic expressions

Which of the following is NOT a part of the lesson summary?

• Calculating probabilities

• Center of dilation

• Understanding scale factors

• Using circle grids