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Common Core Standard HSG-SRT.A.2 Questions

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

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Grade 10 Symmetry and Transformations CCSS: HSG-SRT.A.2
The coordinates of the vertices of ΔABC are A(-9,7), B(-5,6), and C(-7,2). The coordinates of the vertices of ΔDEF are D(12,172), E(52,8), and F(32,6). Which of the following sequences of transformations, applied to ΔABC, shows that ΔABC ~ ΔDEF?
  1. A translation of 5 units left and 7 units down, a rotation of 270° counterclockwise about the origin, and then a dilation of factor 12 centered at (1,3).
  2. A translation of 1 unit right and 2 units down, a rotation of 180° counterclockwise about the origin, and then a dilation of factor -12 centered at (3,4).
  3. A translation of 8 units right, a reflection over the y-axis, and then a dilation of factor 32 centered at the origin.
  4. A translation of 3 units right and 1 unit up, a rotation of 90° counterclockwise about the origin, and then a dilation of factor 12 centered at (1,1).
Grade 10 Symmetry and Transformations CCSS: HSG-SRT.A.2

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

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What is the length of side ¯AB?
  1. 92 units
  2. 310 units
  3. 9 units
  4. 97 units
Grade 10 Symmetry and Transformations CCSS: HSG-SRT.A.2

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What is the length of side ¯BC?
  1. 337 units
  2. 310 units
  3. 313 units
  4. 334 units
Grade 10 Symmetry and Transformations CCSS: HSG-SRT.A.2

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What is the length of side ¯AC?
  1. 373 units
  2. 282 units
  3. 610 units
  4. 122 units
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2
Are these two triangles are similar?
Triangle 1: A = 125, C = 18
Triangle 2: B = 125, C = 35
Acute Triangle ABC v1Acute Triangle ABC v2
  1. Yes, the triangles are similar.
  2. No, the triangles are not similar.
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