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Type: Multiple-Choice
Category: Symmetry and Transformations
Level: Grade 10
Standards: HSG-CO.B.8
Author: nsharp1
Created: 6 years ago

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Symmetry and Transformations Question

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You are given two triangles, ABC and LMN. The vertices of triangle ABC are (-3,2),(-1,2),(-2,4). The vertices of triangle LMN are (4,-2),(2,-2),(3,-4).

Grade 10 Symmetry and Transformations CCSS: HSG-CO.B.8

Because the three sides of ABC can be mapped by the same sequence of rigid transformations to the three sides of triangle LMN, what does this imply and why?
  1. ΔABC≅ΔLMN, since no rotations were used.
  2. ΔABC≅ΔLMN, since rigid transformations preserve size and shape.
  3. The triangles are not necessarily congruent, since we know nothing about the angles.
  4. The triangles are not necessarily congruent, since each side was considered separately.