Geometry
Secondary Education
MAFS.912.G-GPE.2.6 – Worksheet 1
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for this Standard
Name: _______________________________________________________ Date: ___/___/___
1. Given a line segment with endpoints A(3, 2) and B(6, 11), what is the point that divides AB twothirds from A to B?
2. What are the coordinates for point C of a line segment with endpoints A(2, – 1) and C(x, y) that
is partitioned at point B(4, 2) in a ratio of 1 : 3?
3. Given A(– 4, 7) and B(12, – 1), what are the coordinates of point C on segment AB , so that C
partitions AB in the ratio 1 to 7?
The School District of Palm Beach County
Geometry
Secondary Education
MAFS.912.G-GPE.2.6 – Worksheet 1
Calculator Neutral
for this Standard
4. The endpoints of AB are A(0, 2) and B(0, – 3). What are the coordinates of the point C that
divides the segment AB such that AC : CB is equal to 2 : 3?
A.
B.
C.
D.
( 1, 1)
(1, 0)
(0, 1)
(0, 0)
5. On a coordinate grid, AB has endpoints A(4, – 2) and B(x, y). The midpoint of AB is (– 3, 1).
What is the x-coordinate of point B?
6. The directed line segment from A(– 9, 2) to point B(12, 8) is divided by the point P(–2, 4) in the
ratio m : n. In what ratio does P partition AB ?
The School District of Palm Beach County