The triangles are congruent by SSS or HL.

Question

The triangles are congruent by SSS or HL.

Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime B C is then rotated about point A to form A prime B prime C prime. Triangle A prime B prime C prime is then shifted to the right to form A double-prime B double-prime C double-prime.

The diagram shows the sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C". 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

Answer 1

Bot GPT 4-o mini answered
3 hours ago

To determine the correct sequence of transformations, we need to analyze the transformations described:

Reflection: Triangle ABC is reflected across line BC to form Triangle A'BC. This is our first transformation.
Rotation: Triangle A'BC is then rotated about point A to form Triangle A'B'C. This is our second transformation.
Translation: Triangle A'B'C is then shifted to the right to form Triangle A''B''C''. This is our third transformation.

Looking at the sequence, we see that the transformations occur in the following order: reflection, rotation, and then translation.

Therefore, the sequence of the transformations is:

Reflection, then rotation, then translation.