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All Common Core: High School - Geometry Resources

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Flashcards: Represent and Compare Transformations in the Plane: CCSS.Math.Content.HSG-CO.A.2

A basketball player is able to perfectly spin a basketball on his index finger. While the basketball is spinning, what mathematical expression can be concluded about it?

The basketball is in rotation.

The basketball is in translation.

None of the other answer choices are correct.

The basketball is not a transformation.

The basketball is in reflection.

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Flashcards: Represent and Compare Transformations in the Plane: CCSS.Math.Content.HSG-CO.A.2

A basketball player is able to perfectly spin a basketball on his index finger. While the basketball is spinning, what mathematical expression can be concluded about it?

Your answer:

The basketball is in translation.

Your answer:

None of the other answer choices are correct.

Your answer:

The basketball is not a transformation.

Your answer:

The basketball is in reflection.

Correct answer:

The basketball is in rotation.

Explanation:

This question is applying mathematical and more specifically, geometric definitions to describe a real life situation. Geometric definitions usually correspond to objects in the 2 dimensional plane or 3 dimensional surface. Since the basket ball is the object in question, this problem is dealing with a the 3 dimensional space.

From here, recall what is given

"A basketball player is able to perfectly spin a basketball on his index finger."

The index finger in this particular situation is acting as an axis for the basketball. Since the basketball is spinning and is maintaining its shape and size, this is considered a "rotation" in geometry.

Therefore, the correct answer is

"The basketball is in rotation"

Flashcards: Represent and Compare Transformations in the Plane: CCSS.Math.Content.HSG-CO.A.2

A trolley car is attached to metal ground rails that go from the most southern block in a city to the most northern block of that same city. If the trolley starts at the south end and moves all the way to the northern end, what type of geometric expression does this situation define?

Rotation

Both translation and transformation.

Transformation

Translation

Reflection

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Flashcards: Represent and Compare Transformations in the Plane: CCSS.Math.Content.HSG-CO.A.2

Your answer:

Rotation

Your answer:

Transformation

Your answer:

Translation

Your answer:

Reflection

Correct answer:

Both translation and transformation.

Explanation:

To answer this question first recall the different geometric definitions that correspond to the listed possible answer choices.

Translation: To move an object from its original position a certain distance without changing the object in any other way.

Transformation: Refers to any of the four changes that can be done to an object geographically. Transformations include, reflections, translations, rotations, and resizing the object.

Reflection: To flip the orientation of an object over a specific line or function.

Rotation: To rotate an object either clockwise or counter clockwise around a center point.

Looking at the given situation,

"A trolley car is attached to metal ground rails that go from the most southern block in a city to the most northern block of that same city. If the trolley starts at the south end and moves all the way to the northern end, what type of geometric expression does this situation define?"

it can be seen that the trolley is not changing shape, it is not rotating nor reflecting. It is however, moving a certain distance from its starting position thus the definition of a translation and a transformation.

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All Common Core: High School - Geometry Resources

Flashcards: Represent and Compare Transformations in the Plane: CCSS.Math.Content.HSG-CO.A.2

Flashcards: Represent and Compare Transformations in the Plane: CCSS.Math.Content.HSG-CO.A.2

Flashcards: Represent and Compare Transformations in the Plane: CCSS.Math.Content.HSG-CO.A.2

Flashcards: Represent and Compare Transformations in the Plane: CCSS.Math.Content.HSG-CO.A.2

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