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Common Core Standard HSG-GPE.B.6 Questions

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

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Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6
Find the midpoint of the line segment with the endpoints (-5, 2) and (-1, -4).
  1. (-6, -2)
  2. (-3, -1)
  3. (3, 1)
  4. (1, 3)
Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6
What is the midpoint of the line segment with endpoints (-4, 2) and (7, -9)?
  1. (32,-72)
  2. (-112,-72)
  3. (-4,-9)
  4. (3,-7)
Grade 10 Coordinate Geometry CCSS: HSG-GPE.B.6
If a segment has one endpoint at (9, 8) and a midpoint at (0, 9), what are the coordinates of the other endpoint?
  1. (-9,10)
  2. (112,-1)
  3. (412,-12)
  4. (812,412)
Grade 11 Coordinate Geometry CCSS: HSG-GPE.B.6
What is the midpoint of the line segment with endpoints at (5, 9) and (11, 15)?
  1. (8, 12)
  2. (16, 24)
  3. (6, 6)
  4. (-6, -6)
Grade 10 Coordinate Geometry CCSS: HSG-GPE.B.6
What is the midpoint of the line segment with endpoints at (12, 7) and (18, 19)?
  1. (30, 26)
  2. (15, 13)
  3. (-6, -12)
  4. (3, 6)
Grade 10 Coordinate Geometry CCSS: HSG-GPE.B.6
Find the midpoint of the line segment with endpoints at (12, 7) and (-2, 11).
  1. (11, 4)
  2. (5, 9)
  3. (9, 5)
  4. (2, 6)
Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6
Given line segment ¯AB, with endpoints A(-7,-8) and B(4,2), find the coordinates of P such that P divides ¯AB into the ratio 1:7.
  1. (-536,-293)
  2. (-458,-274)
  3. (218,34)
  4. (-536,113)
Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6
Given line segment ¯AB, with endpoints A(-1,0) and B(14,16), find the coordinates of P such that P divides ¯AB into the ratio 5:2.
  1. (687,807)
  2. (24,803)
  3. (237,327)
  4. (327,237)
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