To prove that triangles GHJ and ZNP are congruent, we need to find a rigid motion that maps one triangle onto the other, preserving both shape and size.
Rigid motions include translations, rotations, and reflections.
1. Translation: A translation is a rigid motion that slides an object without changing its shape or size. If we can slide GHJ onto ZNP, they will be congruent.
2. Rotation: A rotation is a rigid motion that rotates an object around a fixed point without changing its shape or size. If we can rotate GHJ around a fixed point to match the orientation of ZNP, they will be congruent.
3. Reflection: A reflection is a rigid motion that flips an object across a line without changing its shape or size. If we can reflect GHJ across a line to match the orientation of ZNP, they will be congruent.
Without knowing the specific properties of triangles GHJ and ZNP, such as their side lengths and angles, it is not possible to determine exactly which rigid motion would map GHJ to ZNP.
Yo prove triangles are congruent, which if the following rigid motions would map GHJ to to ZNP
1 answer