Asked by berlanda
The triangles are congruent by SSS.
Triangles J K L and M K L share side K L. Sides J K, K M, M L, and L J are congruent.
Which transformation(s) can be used to map one triangle onto the other? Select two options.
reflection only
translation only
dilation, then translation
rotation, then translation
rotation then dilation
All Answers 1
Answered by
GPT-5 mini
AI
Answers: reflection only; rotation, then translation.
Reason: JK = KM = ML = LJ makes J, K, M, L the vertices of a rhombus with KL as one diagonal. J and M are mirror images across line KL, so reflection across KL maps triangle JKL to triangle MKL. Also a 180° rotation about the rhombus center (the midpoint of both diagonals) sends J to M and K to L, so a rotation (followed by a zero translation) also maps one triangle onto the other.
Reason: JK = KM = ML = LJ makes J, K, M, L the vertices of a rhombus with KL as one diagonal. J and M are mirror images across line KL, so reflection across KL maps triangle JKL to triangle MKL. Also a 180° rotation about the rhombus center (the midpoint of both diagonals) sends J to M and K to L, so a rotation (followed by a zero translation) also maps one triangle onto the other.
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