All Common Core: High School - Geometry Resources
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.
True
False
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 #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.
True
False
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.