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

1 answer

Neither Chelsea nor Anika is correct. The triangles ΔABC and ΔPRQ cannot be proven congruent through either rotation or reflection.
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