Question
Chelsea and Anika are trying to determine whether ΔABC and ΔPRQ can be proven congruent through rigid motions.
Chelsea says that ΔABC ≅ ΔPRQ because ΔABC can be rotated 270° clockwise to create ΔPRQ.
Anika says that ΔABC ≅ ΔPRQ because ΔABC can be reflected over the x-axis to create ΔPRQ.
a coordinate grid with triangles ABC and PQR at A negative 7 comma 2, B negative 3 comma 6, C negative 2 comma 1, P negative 7 comma negative 2, Q negative 2 comma negative 1, and R negative 3 comma negative 6
Who is correct?
Chelsea only
Anika only
Both Chelsea and Anika
Neither Chelsea nor Anika
Chelsea says that ΔABC ≅ ΔPRQ because ΔABC can be rotated 270° clockwise to create ΔPRQ.
Anika says that ΔABC ≅ ΔPRQ because ΔABC can be reflected over the x-axis to create ΔPRQ.
a coordinate grid with triangles ABC and PQR at A negative 7 comma 2, B negative 3 comma 6, C negative 2 comma 1, P negative 7 comma negative 2, Q negative 2 comma negative 1, and R negative 3 comma negative 6
Who is correct?
Chelsea only
Anika only
Both Chelsea and Anika
Neither Chelsea nor Anika
Answers
GPT 3.5
Neither Chelsea nor Anika is correct. The triangles ΔABC and ΔPRQ cannot be proven congruent through either rotation or reflection.