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lisov135 [29]
2 years ago
6

(PLEASE!!!!) The congruency of MNO and XYZ can be proven using a reflection across the line bisecting OZ. However, this congruen

cy can also be proven using geometric postulates, theorems, and definitions. Prove that the triangles are congruent using a two-column proof and triangle congruency theorems.

Mathematics
2 answers:
jeka942 years ago
7 0

Hello! I had this same question on a test, so I am going to share the answers that I were told are 100% correct!

1: Given

2: Given

3: Given

4: Definition of congruence

5: Reflexive Property

6: Addition property

7: Segment addition postulate

8: Definition of congruence

9: AAS Congruency theorem

Of course, some tests are worded differently, so some extra reading is required. However, I hope this helps, good luck! :)

finlep [7]2 years ago
6 0

Explanation:

Only the reasons need be given here, as the statements are already given in your figure.

  1. Given
  2. Given
  3. Given
  4. Definition of congruent line segments
  5. Symmetric property of congruence
  6. Addition and substitution properties of equality*
  7. Segment addition theorem
  8. Definition of congruent line segments
  9. AAS congruence postulate

_____

* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.

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Evaluate each expression if a = 3 , b = 5 and c=1 b-c
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Answer:

4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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Step-by-step explanation:

<u>Step 1: Define</u>

a = 3, b = 5, c = 1

b - c

<u>Step 2: Evaluate</u>

  1. Substitute:                      5 - 1
  2. Subtract:                         4
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It is important to clearly understand all the important information's already given in the question. Based on those details the answer to the question can be easily determined.
In 17 hours the number of golf balls hit by Bill = 323
Then
In 1 hour the number of golf balls hit by Bill = (323/17) * 1
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So
The number of golf balls hit by Bill in 23 hours = 23 * 19
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So 437 balls will be hit by Bill in 23 hours. I hope the procedure is clear enough for you to understand. This procedure will help you to solve similar problems in future without requiring any outside help.
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Step-by-step explanation:

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