Common Core: High School - Geometry : Rotations and Reflections of Rectangles, Parallelograms, Trapezoids, and Regular Polygons: CCSS.Math.Content.HSG-CO.A.3

Study concepts, example questions & explanations for Common Core: High School - Geometry

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : Congruence

Determine whether the statement is true or false:

An equilateral diamond when rotated  degrees around its center results in the reflected image of two isosceles triangle.

Possible Answers:

True

False

Correct answer:

True

Explanation:

To determine whether this statement is true or false first recall what a  rotation and what a reflection is.

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.

Now looking at the statement, draw images that depict the 90 degree rotation and the reflection of the original image to verify the truth of the statement.

"An equilateral diamond when rotated 90 degrees around its center results in the reflected image of two isosceles triangle."

 

The original equilateral diamond is:

Screen shot 2016 06 14 at 10.13.14 am

The diamond rotated  degrees:

Screen shot 2016 06 14 at 10.16.19 am

The reflection of an isosceles triangle.

Screen shot 2016 06 14 at 10.20.12 am

Therefore, the statement is true.

Example Question #31 : High School: Geometry

Determine whether the statement is true or false:

An equilateral diamond when rotated  degrees around its right most corner results in the reflected image of the original diamond.

Possible Answers:

True

False

Correct answer:

True

Explanation:

To determine whether this statement is true or false first recall what a  rotation and what a reflection is.

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.

Now looking at the statement, draw images that depict the  degree rotation and the reflection of the original image to verify the truth of the statement.

"An equilateral diamond when rotated  degrees around its right most corner results in the reflected image of the original diamond."

The original equilateral diamond with rotation of  degrees on its right most corner is as follows:

Screen shot 2016 06 14 at 10.16.19 amScreen shot 2016 06 14 at 11.02.30 am

The rotated image results in the reflected original image.

Therefore, the statement is true. 

All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept
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