Understanding Dilations in Transformations

What is the primary focus of the transformations unit introduced in the video?

• Rotations

• Reflections

• Translations

• Dilations

What does the scale factor (K) determine in a dilation?

• The orientation of the shape

• The size of the shape

• The position of the shape

• The color of the shape

If the scale factor K is greater than 1, what happens to the shape?

• It becomes smaller

• It becomes larger

• It reflects

• It rotates

What is the result of dilating the point (2, 4) by a scale factor of 3?

• (1, 2)

• (6, 12)

• (3, 6)

• (4, 8)

When a point is dilated by a scale factor between 0 and 1, what happens to the point?

• It becomes smaller

• It moves to the origin

• It remains unchanged

• It becomes larger

What is the new position of point A after dilating triangle ABC by a scale factor of 2?

• (1, -2)

• (2, -4)

• (3, -6)

• (4, -8)

Why is labeling important when plotting new points after dilation?

• To confuse the viewer

• To differentiate between old and new points

• To make the graph look complex

• To make the graph colorful

What is the new position of point B after dilating triangle ABC by a scale factor of 2?

• (4, -1)

• (2, -4)

• (8, -2)

• (6, -3)

What is the new position of point C after dilating triangle ABC by a scale factor of 2?

• (6, 9)

• (8, 12)

• (4, 6)

• (2, 3)

What is the result of dilating the point (5, 8) by a scale factor of 4?

• (15, 24)

• (25, 40)

• (10, 16)

• (20, 32)