Understanding Dilations on the Coordinate Plane

What is the effect of a scale factor greater than 1 on a shape?

• It rotates the shape.

• It stretches the shape.

• It shrinks the shape.

• It reflects the shape.

When dilating a triangle by a scale factor of 2, what happens to the coordinates of the points?

• They are subtracted by 2.

• They are multiplied by 2.

• They remain the same.

• They are divided by 2.

What is the new location of point A if its original coordinates are (-4, -2) and the scale factor is 2?

• (-6, -3)

• (-2, -1)

• (-8, -4)

• (-4, -2)

How do you calculate the new coordinates when dilating by a scale factor of 0.5?

• Multiply by 2

• Divide by 2

• Add 0.5

• Subtract 0.5

What is the new location of point B if its original coordinates are (4, -2) and the scale factor is 0.5?

• (8, -4)

• (0, 0)

• (4, -2)

• (2, -1)

What happens to a shape when the scale factor is less than 1?

• It becomes larger.

• It becomes smaller.

• It rotates.

• It remains unchanged.

If a triangle's side length is 6 units and it is dilated by a scale factor of 2, what is the new side length?

• 3 units

• 9 units

• 6 units

• 12 units

What is the relationship between the original shape and its dilated version?

• They are similar.

• They are unrelated.

• They are identical.

• They are opposites.

What is a key requirement for using the strategy of multiplying coordinates by the scale factor?

• The center of dilation must be the origin.

• The shape must be a triangle.

• The scale factor must be greater than 1.

• The coordinates must be positive.

What is the effect of a scale factor of 0.5 on a shape's size?

• It doubles the size.

• It keeps the size the same.

• It triples the size.

• It halves the size.