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Common Core Standard HSG-SRT.A.1a Questions

A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

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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, 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, 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.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.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.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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