Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Practice Questions
Common Core: High School - Geometry › Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
The following two triangles are congruent by the ASA Theorem. What are the series of rigid motions that map them to one another?
Tell why the following triangles are congruent both by rigid motions and one of the three triangle congruence theorems.
Through which rigid motion are the following triangles related by?
Triangles that share a side and follow the SSS criteria for congruence follow which of the following rigid motions?
True or False: The following triangles are congruent by two different methods:
What is rigid motion?
True or False: If two triangles are congruent through SAS Theorem and share a vertex, they will follow the rigid motions of rotation and reflection.
In terms of rigid motion, how do we know when two figures are congruent to one another?
The following two triangles are congruent by the SAS Theorem. What are the series of rigid motions that map them to one another? (Figures not to scale)
Give an informal proof that proves the following two triangles are congruent by the SAS Theorem and by a series of rigid motions.
