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Rudiy27
3 years ago
14

Need Help ASAP Which Statement correctly describes the relationship between quadrilateral ABCD and quadrilateral A'B'C'D'?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0

Answer:

<h3><em>c) Quadrilateral ABCD is congruent to quadrilateral A'B'C'D' because you can map Quadrilateral ABCD to Quadrilateral A'B'C'D' using a translation 7 units to left, which is a rigid motion.</em></h3>

Step-by-step explanation:

We are given two quadrilateral ABCD and quadrilateral A'B'C'D'.

The coordinates of quadrilateral ABCD are

A(1,2), B(2,1), C(6,1) and D(6,3).

The coordinates of quadrilateral A'B'C'D' are

A(-6,2), B(-5,1), C(-1,1) and D(-1,3).

We can see that <em>transformation rule (x,y) --> (x-7, y)</em> is being applied in quadrilateral ABCD to get quadrilateral A'B'C'D'.

Therefore, Quadrilateral ABCD and Quadrilateral A'B'C'D' are congruent and Quadrilateral ABCD is translated 7 units left to get Quadrilateral A'B'C'D'.


Therefore, correct option is :

<h3><em>c) Quadrilateral ABCD is congruent to quadrilateral A'B'C'D' because you can map Quadrilateral ABCD to Quadrilateral A'B'C'D' using a translation 7 units to left, which is a rigid motion.</em></h3>
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Comment
I'm going to do this two ways, one using a calculator and one not.
Let the total amount of his estate be x.

Equation and Solution
If you have a calculator with an a b/c key on it you can do this problem easily, or at least the fractional part will be easy.

First: develop the  equation
(4/17) x + (7/13)x + 2/3 x + 2 000 000  

Solve the equation
Use the a b/c key on your calculator if you have one. If not go down the second solution part. Put a fraction in as follows.
4 a b/c 17 + 7 a b/c 13 + 2 a b/c 3 = 
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What this translates into is 1 292 / 663 of x
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So the total of fhis estate is
(955/663) x + 2000000 <<<< answer In decimal form you get
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Note: you cannot solve this to the exact amount of his estate because the fractional amount exceeds x which assumed to be the total amount of his estate.

By hand
Find the ;lowest common denominator of 13 17 and 3. Since all of them are prime numbers the lowest common denominator is 13 * 17 * 3 = 663
\
Next set up the 3 fracttions so the denominator = 663
4 / 17 =( 4 * 13 * 3) / 663 = 156 / 663

7/13 = 7 * 17*3 / 663 = 357 / 663

2/3 = 2*13 * 17 / 663 = 442 / 663

Now add these up 156/663 + 357/663 + 442/663 = 955 / 663 This is irreducible
This fraction is over 1 so it cannot represent the total amount in his estate. It is too large.    

(955/663)x + 2000000 <<<<<< fractional answer
1.44x + 2000000 < decimal answer.
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