Exploring Dilations and Similarity Transformations

What does the scale factor 'k' represent in dilations?

• The amount by which the figure enlarges or shrinks

• The direction of dilation

• The angle of rotation

• The center of dilation

If the scale factor 'k' is less than 1, what happens to the figure?

• It shrinks

• It rotates

• It enlarges

• It remains unchanged

What was the initial scale factor for dilating triangle ABC?

• 2

• 3

• 1

• 1/2

In the demonstration, what was the center of dilation for triangle ABC?

• (2, 3)

• (3, 2)

• (0, 0)

• (1, 1)

What does a scale factor greater than 1 indicate in a dilation?

• The figure will enlarge

• The figure will rotate

• The figure will shrink

• The figure will remain the same size

Why was the scale factor changed from 3 to 2 in the demonstration?

• To increase the size of the triangle

• To make the triangle smaller

• To fit the dilation on the graph

• To simplify calculations

What remains unchanged in similarity transformations?

• Center of dilation

• Angle measures

• Scale factor

• Side lengths

How do side lengths change in similarity transformations?

• They remain unchanged

• They double regardless of the scale factor

• Proportionally to the scale factor

• Randomly

What happens to the angle measures in similarity transformations?

• They double

• They are halved

• They remain the same

• They become zero

What property do parallel lines have in similarity transformations?

• They remain parallel

• They become perpendicular

• They lose their parallelism

• They intersect at the center of dilation