Question

congruence: sss and hl
he triangles are congruent by sss or hl.
the diagram shows the sequence of three rigid transformations used to map
△abc onto △abc. what is the sequence of the transformations?
reflection, then translation, then rotation
rotation, then reflection, then translation
rotation, then translation, then reflection
reflection, then rotation, then translation

Explanation:

Step1: Analyze the first transformation

First, observe the orientation change. A rotation changes the orientation of the triangle. So, the first transformation is a rotation.

Step2: Analyze the second transformation

After rotation, there is a reflection (a flip - like change in orientation relative to a line).

Step3: Analyze the third transformation

Finally, there is a translation (a slide) to map the triangle to the final position.

Answer:

rotation, then reflection, then translation