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Type: Multiple-Choice
Category: Symmetry and Transformations
Level: Grade 10
Standards: HSG-SRT.A.2
Author: nsharp1
Created: 4 years ago

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Symmetry and Transformations Question

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Grade 10 Symmetry and Transformations CCSS: HSG-SRT.A.2

The coordinates of the vertices of ΔFGH are F(0,1), G(3,-1), and H(5,3). The coordinates of the vertices of ΔSRT are S(0,-1), R(32,0), and T(52,-2). Which of the following sequences of transformations, applied to ΔFGH, shows that ΔFGH ~ ΔSRT?
  1. A translation 2 units down, and then a dilation by a factor of 12 centered at the origin.
  2. A rotation of 180° about the origin, and then a dilation by a factor of 12 centered at the origin.
  3. A translation of a 12 unit up, and then a dilation by a factor of 12 centered at the origin.
  4. A translation of 1 unit up, a reflection over the x-axis, and then a dilation by a factor of 12 centered at the origin.