1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Colt1911 [192]
2 years ago
10

What are the coordinates of the endpoints of the midsegment for △XYZ that is parallel to XZ⎯⎯⎯⎯⎯ ?

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
7 0

The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Step-by-step explanation:

In a triangle the segment which joining the mid points of two sides:

  • Parallel to the 3rd side
  • Its length is equal half the length of the 3rd side
  • It's called the mid-segment of the triangle

In Δ XYZ

∵ Vertex X is (0 , 7)

∵ Vertex Y is (2 , 5)

∵ Vertex Z is (0 , 1)

∵ The mid-segment of Δ XYZ is parallel to XZ

- The mid-segment intersects the other two sides of the Δ

  at their mid-points

∴ The mid-segment intersects XY and YZ at their midpoints

∴ The endpoints of the mid-segment are the midpoints of

   XY and YZ

The mid point of a segments whose endpoints are (x_{1},y_{1}) and (x_{2},y_{2}) is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

∵ X = (0 , 7) and Y = (2 , 5)

∴ x_{1} = 0 and x_{2} = 2

∴ y_{1} = 7 and y_{2} = 5

∵ The mid point of XY = (\frac{0+2}{2},\frac{7+5}{2})

∴ The mid point of XY = (\frac{2}{2},\frac{12}{2})

∴ The mid point of XY = (1 , 6)

∵ Z = (0 , 1) and Y = (2 , 5)

∴ x_{1} = 0 and x_{2} = 2

∴ y_{1} = 1 and y_{2} = 5

∵ The mid point of ZY = (\frac{0+2}{2},\frac{1+5}{2})

∴ The mid point of ZY = (\frac{2}{2},\frac{6}{2})

∴ The mid point of ZY = (1 , 3)

∵ The endpoints of the mid-segment are the midpoints of

   XY and YZ

∴ The end points of the mid segments are (1 , 6) and (1 , 3)

The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Learn more:

You can learn more about the mid-point in brainly.com/question/5223123

#LearnwithBrainly

You might be interested in
a car with a 20 gallon gas tank can go 25 miles on 1 gallon of gas. if the tank is full at the begining of the trip, how many ti
Tom [10]
37 times 720 divided by 20 is 36 then you need gas to run the 5 other miles. 
6 0
3 years ago
What is the solution of the equation? Square root 2x+13-5=x
borishaifa [10]
Add
5
5
to both sides of the equation.
√
2
x
+
13
=
x
+
5
2
x
+
13
=
x
+
5
To remove the radical on the left side of the equation, square both sides of the equation.
(
√
2
x
+
13
)
2
=
(
x
+
5
)
2
(
2
x
+
13
)
2
=
(
x
+
5
)
2
Simplify each side of the equation.

2
x
+
13
=
x
2
+
10
x
+
25
2
x
+
13
=
x
2
+
10
x
+
25
Solve for
x
x
.

x
=
−
2
,
−
6
x
=
-
2
,
-
6
Exclude the solutions that do not make
√
2
x
+
13
−
5
=
x
2
x
+
13
-
5
=
x
true.
x
=
−
2
8 0
3 years ago
Read 2 more answers
25 + 14 = blank + 25
sleet_krkn [62]

Answer:

14

Step-by-step explanation:

25 + 14 = 14 + 25

39 = 39

6 0
3 years ago
Find the distance between the points (-93,-14) and (-28,-86)
alexandr1967 [171]

Answer:

should be 97 but I'm not sure

3 0
2 years ago
54 + 81 = 9(6 +_) I need the help to answer my question
Otrada [13]

Answer:

9

Step-by-step explanation:

54+81=9(6+9)

9 times 9 equals 81

7 0
3 years ago
Read 2 more answers
Other questions:
  • You get a 15% raise at your job and now make $13.50 per hour. What was you previous rate of pay per hour?
    8·1 answer
  • Saturn orbits the Sun at a distance of 1.43 × 1012 m. The mass of the Sun is 1.99 × 1030 kg.
    12·2 answers
  • The sum of two numbers is 210. Determine the maximum product of these two numbers
    5·1 answer
  • A triangle has height of 15 in. and area of 120 in^2. what is the length of the base?
    14·1 answer
  • Please solve this question asap
    5·1 answer
  • 3a/(a+1)^2 Give the equivalent numerator if the denominator is (a+1)^3
    13·1 answer
  • What does -8/3 simplify to ?
    6·1 answer
  • <img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7Bx%20-%20r%7D%7Bx%20%2B%20r%3F%7D%20find%20%5C%3A%20the%20%5C%3A%20subje
    6·1 answer
  • Can anyone help me on this pls?
    6·2 answers
  • when the johnsons family lights candles at 5:00pm. each candle is 8 inches tall. the height of each candle changed by negative 3
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!