Dilation and Scale Factors

The video tutorial explains the concept of dilation in geometry, focusing on how to apply different scale factors to a triangle's vertices. It demonstrates the process of multiplying or dividing the coordinates of each vertex by the scale factor to achieve the desired dilation. The tutorial covers two specific cases: a scale factor of 2, which enlarges the triangle, and a scale factor of 1/2, which reduces it. The video concludes with a prompt to explore additional resources on transformations.

What happens to the size of a shape when a dilation with a scale factor of 2 is applied?

• The shape shrinks to half its size.

• The shape remains the same size.

• The shape becomes four times larger.

• The shape doubles in size.

Which of the following is true about a dilation with a scale factor of 2?

• It enlarges the shape.

• It reduces the size of the shape.

• It keeps the shape the same size.

• It flips the shape.

Which of the following describes a dilation with a scale factor of 2?

• It keeps the shape the same size.

• It flips the shape.

• It enlarges the shape.

• It reduces the size of the shape.

What is the effect of a dilation with a scale factor of 2 on the coordinates of a shape?

• Coordinates are halved.

• Coordinates remain unchanged.

• Coordinates are doubled.

• Coordinates are tripled.

If a vertex of a triangle is at (4, -2), where will it be after a dilation with a scale factor of 2?

• (6, -3)

• (4, -2)

• (8, -4)

• (2, -1)

What is the new position of vertex B at (2, -3) after applying a scale factor of 2?

• (8, -12)

• (4, -6)

• (1, -1.5)

• (2, -3)

If a triangle's vertex is at (3, 5), where will it be after a dilation with a scale factor of 2?

• (1.5, 2.5)

• (6, 10)

• (3, 5)

• (9, 15)

After a dilation with a scale factor of 2, where will vertex C at (3, 5) be located?

• (1.5, 2.5)

• (9, 15)

• (6, 10)

• (3, 5)

How does a dilation with a scale factor of 1/2 affect the size of a shape?

• The shape doubles in size.

• The shape remains the same size.

• The shape becomes four times larger.

• The shape shrinks to half its size.

What is the effect of a dilation with a scale factor of 1/2 on the coordinates of a shape?

• Coordinates are tripled.

• Coordinates are halved.

• Coordinates remain unchanged.

• Coordinates are doubled.