If lines m and n are parallel, then would a reflection over line m followed by a reflection over line n produce a translation? Explain

Yes because orientation is the same after 2 reflections, and the distances between D and D", E and E" etc. are the same

No because the orientation is reversed, so it cannot be a translation

No because orientation is the same and distances between D and D", E and E" etc. are different.

Yes because the orientation is reversed

A reflection over line y = 2 followed by a reflection over line y = 4 would results in a:

translation up a total of 4 units

translation to the right a total of 2 units

translation to the left a total of 2 units

translation up a total of 2 units

translation down a total of 4 units

A reflection over line y = 5 followed by a reflection over line y = -1 would results in a:

translation down a total of 12 units

translation up a total of 12 units

translation up a total of 6 units

translation down a total of 6 units

translation to the left a total of 6 units

A reflection over line x = -4 followed by a reflection over line x = 1 would results in a:

translation to the right a total of 10 units

translation to the right a total of 5 units

translation to the left a total of 5 units

translation to the left a total of 10 units

translation up a total of 12 units

A reflection over line x = 2 followed by a reflection over line x = 1 would results in a:

translation to the left a total of 2 units

translation to the right a total of 2 units

translation to the right a total of 1 unit

translation to the left a total of 1 unit

translation up a total of 4 units

Could an odd number of reflections ever be a translation? Why or why not?

No because 1 reflection changes orientation, 2 reflections makes it the same again, 3 reflections reverses orientation, etc. Translations need the same orientation as the pre-image

Yes because the orientation is the same

Yes, you can get translations with all sorts of numbers of reflections

Could a reflection followed by a rotation ever be described as a single rotation.

No because a reflection reverses the orientation, so it cannot be a rotation.

Yes because you spin it and it works

Yes because orientation is the same after reflections

No because that's 2 things, not one.

3.2 Practice Worksheet - Summary of Composite Transformation

9th - 11th Grade

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3.2 Practice Worksheet - Summary of Composite Transformation

Quiz

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.3, HSG.CO.A.5

Standards-aligned

Matt Arentsen

Used 12+ times

FREE Resource

8 units

12 units

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The following double reflection produces a Translation. Which direction does the Image translate?

Down

Right

Left

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the distance of the translation.

We can't, it didn't translate

3 units

6 units

12 units

18 units

Tags

CCSS.8.G.A.3

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