Transformations and Glide Reflections

The video tutorial covers the concept of composition of transformations, focusing on glide reflections. It explains how multiple transformations like reflection, translation, and rotation can be combined. Several examples are provided, including transformations on triangles ABC and PQR, and segment RS, demonstrating how to apply these concepts in practice.

What is meant by the composition of transformations?

• Performing a single transformation multiple times

• Applying transformations in reverse order

• Combining two or more transformations to form a single transformation

• Using only translations in a transformation

Which of the following is an example of a composition of transformations?

• Only translating a shape

• Reflecting and then rotating a shape

• Scaling a shape

• Only rotating a shape

What is a Glide reflection?

• A reflection followed by a rotation

• A translation followed by a reflection

• A reflection followed by a translation

• A rotation followed by a translation

In a Glide reflection, what is preserved between the pre-image and the image?

• Both shape and size

• Only the size

• Neither shape nor size

• Only the shape

In Example 1, what is the first transformation applied to triangle ABC?

• Reflection over the y-axis

• Rotation

• Reflection over the x-axis

• Translation

After translating triangle ABC in Example 1, what is the next step?

• Reflect over the x-axis

• Reflect over the y-axis

• Rotate 90 degrees

• Translate again

In Example 2, how is the triangle initially transformed?

• Translated four units down

• Rotated 90 degrees

• Translated four units up

• Reflected over the x-axis

What is the final transformation applied in Example 2?

• Reflection over the x-axis

• Reflection over the y-axis

• Translation

• Rotation

In Example 3, what happens to the segment after it is reflected?

• It is scaled

• It is reflected again

• It is translated

• It is rotated 90 degrees

What is the result of a 90-degree rotation about the origin?

• The y coordinate is negated

• The x coordinate is negated

• The x and y coordinates are swapped

• Both coordinates are negated