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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.1a
Line t, with equation y=-8x+6, is dilated by a factor of 12 with the center of dilation being the origin. What is the equation of the dilated line?
  1. y=-4x+6
  2. y=-4x+3
  3. y=-8x+3
  4. y=-16x+12
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1
Point S(-3,-1) is dilated by a scale factor of 5. If the dilated point is S'(1,15), what is the center of dilation?
  1. (-4,-5)
  2. (2,19)
  3. (-4,-235)
  4. (83,103)
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1a
Line s, with equation y=-3x+14, is dilated by a factor of -4, the center of dilation being the origin. What is the equation of the dilated line?
  1. y=34x-1
  2. y=-3x-1
  3. y=-34x+14
  4. y=12x-1
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1
The point T(8,-5) is dilated by a factor of 4/5. If the dilated point is T'(9,-2), what is the center of dilation?
  1. (0,0)
  2. (4,-17)
  3. (13,10)
  4. (779,-113)
Grade 9 Symmetry and Transformations CCSS: HSG-SRT.A.1, HSG-SRT.A.1a
Line l, with equation y=-32x+5, is dilated by a factor of 14 with the center of dilation being (6,1). What is the equation of the dilated line?
  1. y=-32x+54
  2. y=-32x+2
  3. y=-32x+354
  4. y=-32x-74
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
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