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All Common Core: High School - Geometry Resources

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Flashcards: Drawing Transformed Figures: CCSS.Math.Content.HSG-CO.A.5

If a triangle is in quadrant three and undergoes a transformation that moves each of its coordinate points to the left three units and down one unit, what transformation has occurred?

Reflection

Translation

None of the other answers.

Rotation

Extension

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Flashcards: Drawing Transformed Figures: CCSS.Math.Content.HSG-CO.A.5

If a triangle is in quadrant three and undergoes a transformation that moves each of its coordinate points to the left three units and down one unit, what transformation has occurred?

Your answer:

Reflection

Your answer:

None of the other answers.

Your answer:

Rotation

Your answer:

Extension

Correct answer:

Translation

Explanation:

To determine the type of transformation that is occurring in this particular situation, first recall the different types of transformations.

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.

Since each of the triangle's coordinates is moved to the left and down, it is seen that the size and shape of the triangle remains the same but its location is different. Therefore, the transformation the triangle has undergone is a translation.

Flashcards: Drawing Transformed Figures: CCSS.Math.Content.HSG-CO.A.5

If a rectangle has the coordinate values, (a,b) , (c,b) , (a,d) , and (c,d) and after a transformation results in the coordinates (-a,b) , (-c, b) , (-a,d) , and (-c,d) identify the transformation.

Dilation

Rotation

None of the other answers.

Extension

Reflection

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Flashcards: Drawing Transformed Figures: CCSS.Math.Content.HSG-CO.A.5

If a rectangle has the coordinate values, (a,b) , (c,b) , (a,d) , and (c,d) and after a transformation results in the coordinates (-a,b) , (-c, b) , (-a,d) , and (-c,d) identify the transformation.

Your answer:

Dilation

Your answer:

Rotation

Your answer:

None of the other answers.

Your answer:

Extension

Correct answer:

Reflection

Explanation:

"If a rectangle has the coordinate values, (a,b) , (c,b) , (a,d) , and (c,d) and after a transformation results in the coordinates (-a,b) , (-c, b) , (-a,d) , and (-c,d) identify the transformation."

A transformation that changes the values by multiplying them by negative one is known as a reflection across the -axis or the line x=0

Therefore, this particular rectangle is being reflected across the -axis because the opposite of all the values have been taken.

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All Common Core: High School - Geometry Resources

Flashcards: Drawing Transformed Figures: CCSS.Math.Content.HSG-CO.A.5

Flashcards: Drawing Transformed Figures: CCSS.Math.Content.HSG-CO.A.5

Flashcards: Drawing Transformed Figures: CCSS.Math.Content.HSG-CO.A.5

Flashcards: Drawing Transformed Figures: CCSS.Math.Content.HSG-CO.A.5

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