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
ra1l [238]
3 years ago
14

How does statement reason work? Follow up question, how do I know which reason fits which statement? Another question, how do I

form statements that are true?
Mathematics
1 answer:
mina [271]3 years ago
4 0
<h2>Explanation:</h2>

<em>Statement/Reason</em> is a method of presenting your logical thought process as you go from the "givens" in a problem statement to the desired conclusion. Each <em>statement</em> expresses the next step in the solution process. It is accompanied by the <em>reason</em> why it is true or applicable.

For example, if you have an equation that says ...

... x + 3 = 5

Your next "statement" might be

... x + 3 - 3 = 5 - 3

The "reason" you can make that statement is that the <em>addition property of equality</em> allows you to add the same quantity to both sides of an equation without violating the truth of the equality. You know this because you have studied the properties of equality and how they relate to the solution of equations.

In geometry (where you're more likely to encounter statement/reason questions), you know the statements you're allowed to make because you have studied the appropriate postulates and theorems. The "reason" is generally just the name of the applicable postulate or theorem. The "statement" is the result of applying it to your particular problem.

For example, if you have ∠ABC and ∠CBD, you might want to say (as part of some problem solution) ...

... m∠ABC + m∠CBD = m∠ABD

The reason you can say this is the <em>angle addition postulate</em>, which you have studied. It will tell you that the measures of non-overlapping angles with a common side and vertex can be added to give the measure of the angle that includes them both. (Many such postulates seem obvious, as this one does.)

_____

<em>Side comment on geometric proofs</em>

As you go along in geometry, you study and develop more and more theorems that you can use to find solutions to problems. Sometimes, you're required to use a restricted subset of the ones you know in order to prove others.

As an example, in some problems, you may be able to use the fact that the midline of a triangle is parallel to the base; in other problems, you may be required to prove that fact.

I sometimes found it difficult to tell which theorems I was allowed to use for any given problem. It may help to keep a list that you can refer to from time to time. Your list would tell you the name of the theorem, axiom, or postulate, and what the meaning of it is, and where it might be applied.

_____

<em>Which reason fits which statement?</em>

The "reason" is telling how you know you can make the statement you made. It is anwering the question, "what allows you to make that statement?"

<em>How do I form true statements?</em>

The sequence of statements you want to make comes from your understanding of the problem-solving process and the strategy for solution you develop when you analyze the problem.

Your selection of statements is informed by your knowedge of the properties of numbers, order of operations, equality, inequality, powers/roots, functions, and geometric relationships. You study these things in order to become familiar with the applicable rules and properties and relationships.

A "true" statement will be one that a) gets you closer to a solution, and b) is informed by and respects the appropriate properties of algebraic and geometric relations.

In short, you're expected to remember and be able to use all of what you have studied in math—from the earliest grades to the present. Sometimes, this can be aided by remembering a general rule that can be applied different ways in specific cases. (For me, in Algebra, such a rule is "Keep the equal sign sacred. Whatever you do to one side of an equation, you must also do to the other side.")

You might be interested in
A florist uses 10 red roses for every 2 white roses in her bouquets. If the florist uses 10 white roses in an arrangement, how m
ohaa [14]

Answer:

100

Step-by-step explanation:

dont know how to explain it.

7 0
3 years ago
Read 2 more answers
I WILL AWARD BRAINLIEST!!
AnnZ [28]

Answer:

Can not be determined (CNBD)

Step-by-step explanation:

In the given triangle ACI,

M is the mid point of CI, So we have

CM= MI

also AM=AM   ( reflexive property )

So far we have two pairs of corresponding sides are congruent in ΔCAM and ΔIAM

To prove that ΔCAM≅ΔIAM using SSS (side side side ) congruence theorem

we should have AC =AI , but it is not given,so we can not say that AC=AI

To prove that ΔCAM≅ΔIAM using SAS (side angle side ) congruence theorem

we should have ∠AMC=∠AMI, but it is not given,so we can not say that  ∠AMC=∠AMI

We can not determine that ΔCAM is congruent to which triangle

Hence the answer is Can not be determined (CNBD)


5 0
3 years ago
Evaluate 5x (-2x 2) for x = 3.
miv72 [106K]
Plug in 3 for x. 5(3) (-2(3) x 2) = 15(-6 x 2) = 15(-12) = -180.
7 0
3 years ago
You earn three dollars an hour as a waitress after working three hours you earn 12 five and seven dollars in tips how much money
NikAS [45]

Answer:

The waitress earned a total of 33 dollars

Step-by-step explanation:

Step 1: Determine total earnings from wages;

Total earnings from wages=Earnings per hour×number of hours worked

where;

Earnings per hour=3 dollars an hour

Number of hours worked=3 hours

replacing;

Total earnings from wages=(3×3)=9 dollars

Step 2: Determine total earnings from tips

Total earnings from tips=(12+5+7)=24 dollars

Step 3: Calculate total money earned

Total money earned=Total earnings from tips+total earnings from wages

where;

Total earnings from tips=24 dollars

Total earnings from wages=9 dollars

replacing;

Total money earned=(9+24)=33 dollars

The waitress earned a total of 33 dollars

7 0
3 years ago
Helppppp fastttttttttttttttttttt
boyakko [2]

Answer:

C.

Step-by-step explanation:

think big it is pretty easy

8 0
3 years ago
Other questions:
  • How many ways can a coach assign eleven different players to one of the four positions, if there must be exactly one goalkeeper,
    10·1 answer
  • Solve the quadratic equation for x.<br><br> (x−4)(x+6)=0
    6·2 answers
  • How many times does 64 go into 1760?
    14·2 answers
  • Factorise then following X^2-3x+2
    7·1 answer
  • Find the value of -7 - 8 - (-8) - 7.<br><br> A) -30<br> B) 14<br> C) 0<br> D) -14
    11·2 answers
  • Twice a number , subtracted from 60 is 20. Find the number
    13·1 answer
  • The dot plot shows two students’ scores on 12 history quizzes.
    15·1 answer
  • Which of the following is the rational exponent expression of 4 square root of f?
    11·1 answer
  • each table in the library can seat up to 7 people. There are enough tables for 175 in all. How many tables are in the library
    12·1 answer
  • Please help!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!