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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 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 10 Coordinate Geometry CCSS: HSG-GPE.B.6
Find the midpoint of the segment with endpoints (7, -2) and (-3, -8).

[math]"M" =((x_1+x_2)/2 , (y_1+y_2)/2)[/math]
  1. M = (4, -10)
  2. M = (2, -5)
  3. M = (4, 2)
  4. M = (-10, 2)
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. [math](3/2,-7/2)[/math]
  2. [math](-11/2,-7/2)[/math]
  3. [math](-4,-9)[/math]
  4. [math](3,-7)[/math]
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