PHS CC Geometry Regents Review 2 Partitions

In the diagram below, AC has endpoints with coordinates A(−5,2) and C(4,−10). If B is a point on AC and AB:BC = 1:2, what are the coordinates of B?

• (−2,−2)

• (1/2,−4)

• (0,−14/3)

• (1,−6)

Tags

CCSS.HSG.GPE.B.6

Point Q is on MN such that MQ:QN = 2:3. If M has coordinates (3,5) and N has coordinates (8,−5), the coordinates of Q are

• (5,1)

• (5,0)

• (6,−1)

• (6,0)

Tags

CCSS.HSG.GPE.B.6

Line segment RW has endpoints R(−4,5) and W(6,20). Point P is on RW such that RP:PW is 2:3. What are the coordinates of point P?

• (2,9)

• (0,11)

• (2,14)

• (10,2)

Tags

CCSS.HSG.GPE.B.6

Directed line segment DE has endpoints D(−4,−2) and E(1,8). Point F divides DE such that DF:FE is 2:3. What are the coordinates of F?

• (−3,0)

• (−2,2)

• (−1,4)

• (2,4)

Tags

CCSS.HSG.GPE.B.6

The coordinates of the endpoints of directed line segment ABC are A(−8,7) and C(7,−13). If AB:BC = 3:2, the coordinates of B are

• (1,−5)

• (−2,−1)

• (−3,0)

• (3,−6)

Tags

CCSS.HSG.GPE.B.6

What are the coordinates of point C on the directed segment from A(−8,4) to B(10,−2) that partitions the segment such that AC:CB is 2:1?

• (1,1)

• (−2,2)

• (2,−2)

• (4,0)

Tags

CCSS.HSG.GPE.B.6

The coordinates of the endpoints of QS are Q(−9,8) and S(9,−4). Point R is on QS such that QR:RS is in the ratio of 1:2. What are the coordinates of point R?

• (0,2)

• (3,0)

• (−3,4)

• (−6,6)

Tags

CCSS.HSG.GPE.B.6

The endpoints of directed line segment PQ have coordinates of P(−7,−5) and Q(5,3). What are the coordinates of point A, on PQ, that divide PQ into a ratio of 1:3?

• A(−1,−1)

• A(2,1)

• A(3,2)

• A(−4,−3)

Tags

CCSS.HSG.GPE.B.6

The endpoints of AB are A(−5,3) and B(7,−5). Point P is on AB such that AP:PB = 3:1. What are the coordinates of point P?

• (−2,−3)

• (1,−1)

• (−2,1)

• (4,−3)

Tags

CCSS.HSG.GPE.B.6

Directed line segment AJ has endpoints whose coordinates are A(5,7) and J(−10,−8). Point E is on AJ such that AE:EJ is 2:3. What are the coordinates of point E?

• (1,−1)

• (5,−3)

• (-4,-2)

• (-1,1)

Tags

CCSS.HSG.GPE.B.6