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

## Example Questions

### Example Question #11 : Rotations And Reflections Of Rectangles, Parallelograms, Trapezoids, And Regular Polygons: Ccss.Math.Content.Hsg Co.A.3

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.

False

True

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:

The diamond rotated  degrees:

The reflection of an isosceles triangle.

Therefore, the statement is true.

### Example Question #12 : Rotations And Reflections Of Rectangles, Parallelograms, Trapezoids, And Regular Polygons: Ccss.Math.Content.Hsg Co.A.3

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.

True

False

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:

The rotated image results in the reflected original image.

Therefore, the statement is true.