### All Common Core: High School - Geometry Resources

## 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.

**Possible Answers:**

False

True

**Correct answer:**

True

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.

**Possible Answers:**

True

False

**Correct answer:**

True

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.

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