Introduction to Transformations Answers

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Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?

yes, because a translation to the right will map ΔABC to ΔABD

yes, because a rotation about point B will map ΔABC to ΔABD

yes, because a reflection across BA will map ΔABC to ΔABD

no, because no rigid transformation will map ΔABC to ΔABD

What additional information would be needed to prove that the triangles are congruent using the ASA congruence theorem?

ON ≅ MN

∠LON ≅ ∠LMN

LN ≅ NM

∠LNO ≅ ∠LNM

Is there a rigid transformation that would map ΔABC to ΔDEC?

yes, a reflection across side AC

yes, a rotation about point C

yes, a vertical translation

no, triangles are not congruent

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