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
White raven [17]
3 years ago
5

Which is the most logical order of statements and justifications I, II, III, and IV to complete the proof?

Mathematics
2 answers:
Tamiku [17]3 years ago
6 0
I think its B IV,III, I, II
Verdich [7]3 years ago
5 0

Answer:

IV,III,I,II

Step-by-step explanation:

We are given that a triangle ABC in which three medians are given .

We are given  a proof of three medians of a  triangle which intersect at  common point.

We have to find which is the most logical order of statement and justifications I,II,III and IV to complete the proof.

Statement:Point F is the mid- point of segment AB and point E is the mid-point of segment AC.

Draw segment BE and draw segment FC.

Justification: By construction

Statement: Point G is the point of intersection of segment BC and segment FC.

Justification: Intersecting lines postulate

Statement:Draw  segment AG.

Justification: By construction

Statement:Point D is the mid- point of intersection between segment AG and segment BC.

Justification: Intersecting lines postulate

Statement:Point H lies on segment AG such that AG\cong GH

Justification: By construction

Step:IV FG\parallel BH,GE\parallel CH

Justification: Midpoint segment theorem

Step III.GC\parallel BH,BG\parallel CH

Justification: Substitution

Step I.BGCH is parallelogram

Justification: By property of parallelogram (Opposite sides are parallel)

StepII:BD\cong DC

Justification: Property of parallelogram (diagonals of parallelogram bisect each other)

Statement: AD is median

Justification: Definition of median

Answer:IV,III,I,II

You might be interested in
Use the graph below to answer the following question:
worty [1.4K]

9514 1404 393

Answer:

  B.  -1

Step-by-step explanation:

The relevant points on the graph are (1, 3) and (4, 0). The average rate of change can be found using the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -3)/(4 -1) = -3/3 = -1

The average rate of change from x = 1 to x = 4 is -1.

5 0
2 years ago
An ice chest at a birthday party has a variety of
timurjin [86]

Answer:

50/50 because you will most likely pull cola your first time

3 0
3 years ago
Amaya's test scores in Algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 8
ICE Princess25 [194]
Let x be the score Amaya gets on the final test. She wants her average of all 3 tests to be between 80 and 89: 

<span>80 ≤ (78 + 91 + x) / 3 ≤ 89 </span>

<span>Multiply everything by 3: </span>
<span>240 ≤ 78 + 91 + x ≤ 267 </span>
<span>240 ≤ 169 + x ≤ 267 </span>

<span>Subtract 169 from everything: </span>
<span>240 - 169 ≤ x ≤ 267 - 169 </span>
<span>71 ≤ x ≤ 98 </span>

<span>Answer: </span>
<span>She needs to score between 71 and 98 to get a B for the course.</span>
3 0
3 years ago
Elisondra is eating at a restraurant with three friends. They want to choose at random who will order first. If you model the si
trapecia [35]

An equal-sized spinner is used to model probabilities

The spinner should have 4 equal sections

The number of friends is given as:

\mathbf{Friends = 3}

When Elisondra is included, the total number of people that went to the restaurant is:

\mathbf{n = Friends + 1}

Substitute 3 for Friends

\mathbf{n = 3 + 1}

Add 3 and 1

\mathbf{n = 4}

The number of people that went to the restaurant is the number of equal sections of the spinner.

Hence, the spinner should have 4 equal sections

Read more about spinners at:

brainly.com/question/16425041

8 0
2 years ago
When 20 large rooms are occupied, the total amount of money collected from the large room is $1800. When 10 large rooms and 21 s
NNADVOKAT [17]
It is 70
i cant explain it right now i have work to do so sorry:)
5 0
3 years ago
Read 2 more answers
Other questions:
  • What times 5 equals 4
    7·2 answers
  • Which is bigger ⅞ or 5/8
    7·2 answers
  • PLEASE ANSWER!
    14·2 answers
  • Find the product. (4.0 × 10−^2) × (5.2 × 10^8)
    5·1 answer
  • A rectangular blanket’s perimeter is 210 inches. If the long sides of the blanket measure 60 inches, what is the length of the s
    9·1 answer
  • Givenf(x)=2x-5 what is f(x)=12
    6·1 answer
  • Rip XXXTentacion ........
    15·2 answers
  • 25 increased to 32..........
    7·1 answer
  • In a right triangle, cosine a = 0.352 and sine a = 0.936. what is the approximate value of tangent a? 0.329 0.376 1.288 2.659
    8·1 answer
  • Find the surface area of the triangular prism.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!