Question

construction identify the type of rigid transformation performed on each given triangle to generate the other triangle in the truss with matching left and right sides shown below. 14. △nmp to △cjd 15. △efd to △ghf 16. △cbj to △nqp

Explanation:

Step1: Analyze $\triangle NMP$ to $\triangle CJD$

Observe the orientation and position. The triangles are mirror - images of each other across a vertical line. This is a reflection.

Step2: Analyze $\triangle EFD$ to $\triangle GHF$

The shape is rotated around a point. The orientation has changed in a circular - like motion. This is a rotation.

Step3: Analyze $\triangle CBJ$ to $\triangle NQP$

The triangles have the same orientation and one can be moved to overlap the other. This is a translation.

Answer:

1. Reflection
2. Rotation
3. Translation