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Common Core Standard HSG-SRT.A.1 Questions

Verify experimentally the properties of dilations given by a center and a scale factor:

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Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1b
Line segment ¯AB is dilated by a factor of 3 with the origin as the center of dilation. What is the length of the dilated line segment, A′B′, in relation to AB?
  1. A′B′=AB+3
  2. A′B′=3AB
  3. A′B′=13AB
  4. A′B′=AB
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1a
Line m, with equation y=12x-3, is dilated by a factor of 2 with the center of dilation being (-1,-1). What is the equation of the dilated line?
  1. y=12x-5
  2. y=12x+72
  3. y=12x-112
  4. y=12x-6
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1b
Line segment ¯MN is dilated by a factor of 1/5, with the center of dilation being the origin. What is the length of the dilated line segment, M′N′, in relation to MN?
  1. M′N′=5MN
  2. M′N′=15+MN
  3. M′N′=15MN
  4. M′N′=(15)2MN
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1a
Line l, with equation y=15x-10, is dilated by factor of 15 with the center of dilation being (5,-9). What is the equation of the dilated line?
  1. y=15x-10
  2. y=15x-2
  3. y=15x-465
  4. y=15x+14625
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1b
Line segment ¯PQ is dilated by a factor of 2/3, with the center of dilation being (-3,-2). Determine the length of the dilated line segment, P′Q′, in relation to PQ.
  1. P′Q′=23PQ
  2. P′Q′=32PQ
  3. P′Q′=94PQ
  4. Not enough information given.
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1a
Line s passes through the points A(-3,1) and B(4,4). If line s undergoes a dilation of factor 4, centered at (9,7), what is the equation of the dilated line?
  1. y=37x+227
  2. y=37x-1627
  3. y=13x+8
  4. y=37x-27
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1b
Line segment ¯GH is dilated by a factor of -5/2, with the center of dilation being (-7,-9). Determine the length of the dilated line segment, G′H′, in relation to GH.
  1. G′H′=254GH
  2. G′H′=-25GH
  3. G′H′=52GH
  4. Not enough information given.
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1b
ΔABC is dilated by a factor of 2 with the origin as the center of dilation. Which of the following gives the perimeter of the image ΔA′B′C′?
  1. 2AB+BC+AC
  2. 2AB+2BC+2AC
  3. 23(AB+BC+AC)
  4. 2A′B′+2B′C′+2A′C′
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