AnswersTX-Geometry CRPartitioning a Line Segment

Partitioning a Line Segment Answers

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The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

A
(4, –1)
B
(–1, 4)
C
(2.2, –2.4)
D
(–2.4, 2.2)
2
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Question text not available

Question illustration
A
(–6, –14)
B
(2, –23)
C
Option
Option C
D
Option
Option D
3

Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinates of point T?

Question illustration
A
T(3, 2)
B
T(3, 4)
C
T(4, 5)
D
T(4, 7)
4

Segment AB is shown on the graph.

Question illustration
A
x = (−3−2) + 2
Option A
B
x = (2+3) − 3
Option B
C
x = (−3−2) + 2
Option C
D
x = (2+3) − 3
Option D
5

The midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15). Which equations can be solved to determine the coordinates of the other endpoint, K? Select two options. = –1 = 4–15 + y1 =16= y1

Question illustration
A
= –1
Option A
B
= 4
Option B
C
–15 + y1 =16
D
Option
Option D
E
= y1
Option E
6

If the endpoints of AB are A(–2, 3) and B(1, 8), which shows the correct way to determine the coordinates of point C, the midpoint of AB?

Question illustration
A
M =
Option A
B
M =
Option B
C
M =
Option C
D
M =
Option D
7

Line segment has endpoints X(-10, -1) and Y(5, 15). To find the y-coordinate of the point that divides the directed line segment in a 5:3 ratio, the formula was used to find that .What is the y-coordinate of the point that divides into a 5:3 ratio?

Question illustration
A
1
B
2
C
9
D
10
8

Point A is at –4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?

Question illustration
A
For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a 3:2 ratio is 0.
B
For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a 3:2 ratio is 3.
C
For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 1.
D
For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
9

The midpoint of is point P at (−6,−2). If point E is at (2,−4), what are the coordinates of point F?

Question illustration
A
(−14,0)
B
(−10,−8)
C
(−5,3)
D
(−2,−3)
10

Line segment has endpoints A(-4, -10) and B(-11, -7). To find the x-coordinate of the point that divides the directed line segment in a ratio, the formula was used to find that .What is the x-coordinate of the point that divides into a 3:4 ratio?

Question illustration
A
-7
B
-5
C
-3
D
-1
11

Which expressions can be used to find the coordinates of the midpoint of PQ with endpoints P(3, –1) and Q(–7, –6)? Select three options. can be used to find the x-coordinate of the point. can be used to find the y-coordinate of the point.(–7 – 3) + 3 can be used to find the x-coordinate of the point.(–6 – 1) – 1 can be used to find the y-coordinate of the point. – 1 can be used to find the y-coordinate of the point.

Question illustration
A
can be used to find the x-coordinate of the point.
Option A
B
can be used to find the y-coordinate of the point.
Option B
C
(–7 – 3) + 3 can be used to find the x-coordinate of the point.
Option C
D
(–6 – 1) – 1 can be used to find the y-coordinate of the point.
Option D
E
– 1 can be used to find the y-coordinate of the point.
Option E
12

To find the coordinates of point L, the midpoint of JK, the equation M = can be used. What are the coordinates of point L?

Question illustration
L
L(1, –7)
L
L(3, –2)
L
L(5, 3)
L
L(6, –4)
13

Question text not available

Question illustration
A
(–2.75, 0.25)
B
(–5, 2.5)
C
(0.75, –2.25)
D
(3.75, –3.75)

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