Question

the 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? rotation, then reflection, then translation rotation, then translation, then reflection reflection, then translation, then rotation reflection, then rotation, then translation

Explanation:

Step1: Analyze the orientation change

First, the orientation of the triangle changes, which is a sign of rotation. Rotation changes the direction the triangle is facing.

Step2: Analyze the flip - like change

Then, there is a mirror - like change in the position of the triangle, which is a reflection. Reflection flips the triangle across a line.

Step3: Analyze the position shift

Finally, the triangle is moved to a new position without changing its orientation or flip - state, which is a translation.

Answer:

rotation, then reflection, then translation