Exploring Translations, Reflections, and Rotations in Mathematics

The video tutorial covers three types of geometric transformations: translations, reflections, and rotations. Translations involve moving an object up, down, left, or right without changing its orientation. Reflections are flips over a line, similar to how an image appears in a mirror. Rotations involve turning an object around a point in a circular motion, with examples of 90, 180, and 270-degree rotations provided. Each transformation is explained with examples to illustrate the concepts.

What is a translation in geometry?

• A change in size

• A circular motion

• A flip across a line

• A move up or down, left or right without changing orientation

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following is NOT a type of translation?

• Moving right

• Moving down

• Flipping left

• Moving up

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How can a diagonal move be described?

• A combination of up and down movements

• A circular motion

• A combination of vertical and horizontal translations

• A flip across a line

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CCSS.8.G.A.3

What is a reflection in geometry?

• A move up or down, left or right

• A flip across a line

• A circular motion

• A change in size

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In a reflection, how does your left hand appear?

• In the middle

• On the right side

• On the left side

• It doesn't appear

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is a rotation in geometry?

• A move up or down, left or right

• A change in size

• A flip across a line

• A circular motion

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What happens to an object in a 90-degree rotation?

• It changes size

• It points in a different direction

• It moves up or down

• It flips across a line

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How does a 180-degree rotation compare to a reflection?

• A 180-degree rotation looks like a reflection

• They are completely different

• They are the same

• A reflection looks like a 90-degree rotation

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of a 270-degree rotation?

• The object points in a different direction

• The object points in the same direction

• The object changes size

• The object flips across a line

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following is NOT a type of rotation?

• 270-degree

• 180-degree

• 360-degree

• 90-degree

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5