Geometry people me i will give 2. marissa labeled the corners of both the picture and the mat as shown. complete the table 3. marissa thinks that there could be a pattern between the scale factor and perimeter of an image and its pre-image and between the scale factor and area of an image and its pre-image. (a) determine the perimeter and area of the picture and the perimeter and area of the mat. (b) create a table that shows the perimeter and area of the picture and the perimeter and area of the mat for scale factors of 2, 3, and 4.

Table

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Scale factor 3.

(-1-3,2+3) -->  A(-4,5)

(1+3,2+3) -->   B(4,5)

(1+3,-2-3) -->  C(4,-5)

(-1-3,-2-3) --> D(-4,-5)

(-2-3,3+3) -->  E(-5,6)

(2+3,3+3) -->   F(5,6)

(2+3,-3-3) -->  G(5,-6)

(-2-3,-3-3) --> H(-5,-6)

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Scale factor 4

(-1-4,2+4) -->  A(-5,6)

(1+4,2+4) -->   B(5,6)

(1+4,-2-4) -->  C(5,-6)

(-1-4,-2-4) --> D(-5,-6)

(-2-4,3+4) -->  E(-6,7)

(2+4,3+4) -->   F(6,7)

(2+4,-3-4) -->  G(6,-7)

(-2-4,-3-4) --> H(-6,-7)

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Second Image.

Scale Factor 2

Length = 6

Width = 8

Perimeter = 2(6+8)= 2(14) = 28

Area = 6 times 8 = 48.

Scale Factor 3

Length = 8

Width = 10

Perimeter = 2(8+10)= 2(18) = 36

Area = 8 times 10 = 80.

Scale Factor 4

Length = 10

Width = 12

Perimeter = 2(10+12)= 2(22) = 44

Area = 10 times 12 = 120.

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Scale Factor 2

Length = 8

Width = 10

Perimeter = 2(8+10)= 2(18) = 36

Area = 8 times 10 = 80.

Scale Factor 3

Length = 10

Width = 12

Perimeter = 2(10+12)= 2(22) = 44

Area = 10 times 12 = 120.

Scale Factor 4

Length = 12

Width = 14

Perimeter = 2(12+14)= 2(26) = 52

Area = 12 times 14 = 168.