Transformations and Dilations in Geometry

The video tutorial covers the concept of similar figures and their transformations, including translation, reflection, rotation, and dilation. It explains how these transformations affect the size and shape of figures, maintaining congruence or similarity. The tutorial also discusses how to compare attributes of original and transformed figures and describes sequences of transformations. The video concludes with practical applications of these concepts.

What is the main characteristic of similar figures?

• They have the same size but different shapes.

• They have the same shape but different sizes.

• They have different shapes and sizes.

• They have the same size and shape.

What type of transformation involves sliding a shape without changing its size or orientation?

• Dilation

• Translation

• Rotation

• Reflection

Which transformation involves flipping a figure over a line?

• Reflection

• Dilation

• Translation

• Rotation

What happens to a figure when it is rotated around the origin?

• It turns around a point.

• It slides to a new position.

• It flips over a line.

• It changes size.

What is the effect of a dilation on a figure?

• It does not change the figure at all.

• It changes both the shape and size.

• It changes the size but not the shape.

• It changes the shape but not the size.

How does a dilation with a scale factor of 3 affect a figure?

• It keeps the size the same.

• It doubles the size of the figure.

• It triples the size of the figure.

• It halves the size of the figure.

What remains unchanged in a figure after a dilation?

• The size of the figure

• The shape of the figure

• The position of the figure

• The color of the figure

What is the result of a sequence of transformations that includes a reflection over the y-axis?

• The figure is rotated.

• The figure is translated.

• The figure is flipped horizontally.

• The figure is dilated.

What is the first step in identifying a sequence of transformations?

• Determine if the size changes.

• Identify the original position.

• Check the color of the figure.

• Count the number of sides.

If a figure is dilated by a scale factor of 4, how long will a side originally 4 inches become?

• 20 inches

• 8 inches

• 16 inches

• 12 inches