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exis [7]
2 years ago
10

Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k

> 0. Are Rectangle 1 and Rectangle 2 similar? Why or why not? Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1. Write a paragraph proof to show that the area of Rectangle 2 is times the area of Rectangle 1. Answer:
Mathematics
1 answer:
Alika [10]2 years ago
8 0

Yes, the two rectangles are similar, because rectangle 2 is a dilation of rectangle 1.

<h3>Are the two rectangles similar?</h3>

We know that rectangle 1 has dimensions L and W.

And rectangle 2 is made by multiplying the dimensions of rectangle 1 by a factor k > 0.

Then, rectangle 2 is just a dilation of rectangle 1, this means that in fact, the two rectangles are similar by definition.

Then:

Dimensions of rectangle 1:

  • Length = L
  • Width = W.
  • Perimeter = 2*(W + L)
  • Area = W*L

For rectangle 2:

  • Length = k*L
  • Width = k*W
  • Perimeter = 2*(k*L + k*W) = k*(2*(L + W))
  • Area = (k*L)*(k*W) = k²(L*W)

Above we can see that the perimeter of rectangle 2 is k times the perimeter of rectangle 1, and the area of rectangle 2 is k squared times the area of the rectangle 1.

If you want to learn more about similar figures:

brainly.com/question/14285697

#SPJ1

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MArishka [77]

Answer:

it would be 21

the only difference is that one is a negative and the other is a positive. The absolute value is the distance the number is from 0 on the number line.

hope i helped :)

7 0
3 years ago
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HELP PLEASE ITS JUST ONE QUESTION
Nady [450]

Answer:

y = 2x - 1

Step-by-step explanation:

The given line is y = 2x - 6.

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y = mx + b

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Use the given point with x = 3 and y = 5 and solve for b.

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4 0
3 years ago
Subject : Maths<br> Level : High school<br> Topic : Surds<br> Points : 72
Mila [183]

Answer:

  • a = 5

Step-by-step explanation:

<u>Simplify:</u>

  • √5(√8 + √18) =
  • √5*8 + √5*18 =
  • √40 + √90 =
  • √4*10 + √9*10 =
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6 0
3 years ago
???? Help plz ?…. It’s a grade
Aleks [24]

Answer:

Yes it does show a dilation

4 0
3 years ago
What is the answer to 3/4d-1/2=3/8+1/2d
ElenaW [278]

Answer:

d=7/2

Step-by-step explanation:

3/4d-1/2=3/8+1/2d

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6d-4=3+4d

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6-d-4d=2d

3+4=7

7=2d

d=7/2

5 0
3 years ago
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