Triangles J K L and M N Q are shown. Triangle J K L is rotated slightly about point L to form triangle M N Q.

Question

Two rigid transformations are used to map TriangleJKL to TriangleMNQ. The first is a translation of vertex L to vertex Q. What is the second transformation?

a reflection across the line containing LK
a reflection across the line containing JK
a rotation about point L
a rotation about point K

Answer 1

To map triangle J K L to triangle M N Q through the transformations mentioned, the first transformation is a translation of vertex L to vertex Q.

Since triangle M N Q is formed by rotating triangle J K L slightly about point L, the second transformation must be a rotation about point L. This is because we want to align the remaining vertices (J and K) to their corresponding positions in triangle M N Q, while maintaining the shape and orientation of the triangle.

Thus, the second transformation is:

a rotation about point L.