All Common Core: 8th Grade Math Resources
Example Questions
Example Question #21 : Geometric Translations
Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided image.
A rotation
A reflection over the x-axis
A translation to the left
A reflection over the x-axis
First, let's define the possible transformations.
Rotation: A rotation means turning an image, shape, line, etc. around a central point.
Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.
Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.
In the images from the question, the line was not rotated because that rotation would have caused the line to be vertical, but the line is still horizontal. The line was not moved to the left, as the translation is described in the answer choice; thus, the correct answer is a reflection over the x-axis.
Example Question #22 : Geometric Translations
Observe the location of the black and orange lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black line has undergone in order to reach the position of the orange line. Select the answer that provides the correct transformation shown in the provided.
A translation down and to the right
A rotation
A reflection over the y-axis
A reflection over the y-axis
First, let's define the possible transformations.
Rotation: A rotation means turning an image, shape, line, etc. around a central point.
Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.
Reflection: A reflection mean flipping an image, shape, line, etc. over a central line.
In the images from the question, the line was not rotated because that rotation would have caused the line to be horizontal, but the line is still vertical. The line was not moved down and to the right, as the translation is described in the answer choice; thus, the correct answer is a reflection over the y-axis.