Common Core: High School - Geometry : Transformation and Congruence of Rigid Motions: CCSS.Math.Content.HSG-CO.B.6
Study concepts, example questions & explanations for Common Core: High School - Geometry
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Example Questions
Example Question #52 : High School: Geometry
Jenny has drawn a rectangle in the upper left hand corner of a piece of paper. If she folds the paper in half and traces the rectangle on the other half of the paper, what type of rigid motion has occurred?
Reflection
Expansion
isometry
Rotation
None of the other answers
Reflection
This situation describes a real life application of geometry where the coordinate grid can be seen as the piece of paper. Since Jenny is tracing the rectangle after the paper is folded it can be seen that the fold is an axis and the new rectangle is congruent to the original one. Therefore, the rigid motion describing this situation is a reflection.
Example Question #53 : High School: Geometry
Jill and Jane sit next to each other in math class. Jill has a sheet of paper and Jane asks her for half of it to take notes on because she left her notebook in the locker. If Jill cuts the sheet of paper in half, has a rigid motion occurred?
No
Yes
No
Recall that a rigid motion is that that preserves the distances between points within the object while undergoing a motion in the plane. This is also called an isometry, rigid transformations, or congruence transformations and there are four different types. The piece of paper is the object in this situation. Since the paper is cut in half, it does not preserve the shape of the object and thus, is not a rigid motion.
Therefore, the answer is "No".
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