Understanding Dilations on a Coordinate Grid

The video tutorial explains the concept of dilation on a coordinate grid with the center at (0,0). It demonstrates how to perform dilation using a scale factor of two, which enlarges the shape, and a scale factor of half, which reduces the shape. The tutorial also highlights the impact of dilation on side lengths, showing how they change proportionally with the scale factor.

What is the center of dilation in the given example?

• (1,1)

• (0,0)

• (2,2)

• (-1,-1)

If point A is at (-2,-2) and the scale factor is 2, where will A' be located?

• (2,2)

• (-2,-2)

• (4,4)

• (-4,-4)

What happens to point B at (-2,1) when scaled by a factor of 2?

• It moves to (-4,2)

• It moves to (4,-2)

• It stays at (-2,1)

• It moves to (2,-1)

Where does point C at (2,0) move when scaled by a factor of 2?

• (0,4)

• (2,0)

• (-4,0)

• (4,0)

What is the new location of point A at (-2,-2) when scaled by a factor of 0.5?

• (0,0)

• (-2,-2)

• (1,1)

• (-1,-1)

How does point B at (-2,1) change when scaled by 0.5?

• It stays at (-2,1)

• It moves to (1,-0.5)

• It moves to (-1,0.5)

• It moves to (0,0)

What is the effect on point C at (2,0) when scaled by 0.5?

• It moves to (1,0)

• It moves to (-1,0)

• It moves to (0,1)

• It stays at (2,0)

How does the side length of AB change when the scale factor is 2?

• It halves

• It doubles

• It remains the same

• It triples

What happens to the side length of AB when the scale factor is 0.5?

• It triples

• It remains the same

• It halves

• It doubles

What is the relationship between scale factor and side length change?

• Directly proportional

• Inversely proportional

• No relationship

• Exponentially related