Directed Line Segments and Modeling Answers

10 verified answers3 views
2
Free Preview

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
4

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
5

Segment GH is shown on the graph.

Question illustration
A
(–7.5, 0.5)
B
(0.5, –7.5)
C
(–1.2, –2.2)
D
(–2.2, –1.2)
9

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
10

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
11

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?

A
M =
Option A
B
M =
Option B
C
M =
Option C
D
M =
Option D
12

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)
14

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
15

Question text not available

Question illustration
A
(–6, –14)
B
(2, –23)
C
Option
Option C
D
Option
Option D
16

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)
17

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)

Did you find these answers helpful?