Transformations in Geometry

The video tutorial covers the composition of transformations, focusing on glide reflections and reflections over parallel lines. Example A demonstrates reflecting a triangle over the y-axis and translating it down, forming a glide reflection. Example B derives a single rule for the transformation. Example C shows reflections over parallel lines, equating to a translation.

What is the term used when a reflection is combined with a translation?

• Glide reflection

• Double reflection

• Parallel translation

• Axis shift

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

• Reflection over the y-axis

• Rotation 90 degrees

• Reflection over the x-axis

• Translation eight units down

After reflecting triangle ABC over the y-axis, what is the next step in Example A?

• Reflect the image over the x-axis

• Rotate the image 180 degrees

• Translate the image eight units down

• Translate the image eight units up

In Example A, what is the final position of point A after both transformations?

• (2, -4)

• (-2, 4)

• (2, 4)

• (-2, -4)

What is the final position of point B in Example A after both transformations?

• (8, 0)

• (-8, -8)

• (-8, 0)

• (8, 8)

What is the final position of point C in Example A after both transformations?

• (-10, -6)

• (10, 2)

• (-10, 2)

• (10, -6)

What is the result of combining a reflection and a translation in Example A?

• A simple reflection

• A rotation

• A Glide reflection

• A scaling transformation

In Example B, what is the main task?

• Reflect triangle ABC over the x-axis

• Rotate triangle ABC 90 degrees

• Write a single rule for the transformation

• Translate triangle ABC eight units up

What happens to the x-coordinate in the transformation rule derived in Example B?

• It decreases by 8

• It remains the same

• It turns negative

• It increases by 8

What is the change in the y-coordinate according to the transformation rule in Example B?

• It decreases by 8

• It increases by 8

• It turns negative

• It remains the same