Question

Triangle ABC and Triangle XYZB. Triangle ABC and Triangle MNOC. Triangle JKL and Triangle ABCD. Triangle PQR and Triangle XYZ(Blank) can be shown to be congruent by a single rotation. A. Triangle ABC and Triangle XYZB. Triangle PQR and triangle XYZC. Triangle JKL and Triangle PQRD. Triangle JKL and Triangle XYZ​

Answer 1

The correct pair of triangles that can be shown to be congruent through a single rotation is Triangle ABC and Triangle XYZ.

Step-by-step explanation:

The question involves determining which pair of triangles can be shown to be congruent through a single rotation. Rotation is a type of geometric transformation that pivots a figure around a fixed point without changing its size or shape. From the given options, the correct pair that can be proven to be congruent by a single rotation is Triangle ABC and Triangle XYZ.

This is because the other mentioned triangles either have additional vertices (implying they are not triangles), or they are not specified as being related through rotation. For triangles to be congruent by rotation, they must match in size and shape after the rotation around a point.