Scale Factor Area

The second piece will have a perimeter that is 1.5 times bigger than the first piece.

The perimeter of the first piece is 2.25 times bigger than the perimeter of the second piece.

The area of the first piece is 3.0 times the area of the second piece.

The area of the first piece will be 2.25 times the area of the second piece.

AB/BD = LM/OP

AC/LO = CD/OP

BD/AB = OP/MP

MP/ LM = CD/AC

W'H'Y' is smaller than WHY because the scale factor is less than one.

W'H'Y' is larger than WHY because the scale factor is less than one.

W'H'Y' is larger than WHY because the scale factor is greater than one.

W'H'Y' is smaller than WHY because the scale factor is greater than one.

( 3− n, −5n)

( -3 + n, −5 + n)

( -3 − n, − 5 -n)

(x, y) → (y, x)

(x, y) → (x + 4, y + 4)

(x, y) → (x, -y)

(x, y) → (4x, 4y)

$$\left(x,y\right)\rightarrow\left(\frac{1}{2}x,\frac{1}{2}y\right)$$  

$$\left(x,y\right)\rightarrow\left(2x,2y\right)$$  

an enlargement

3

a reduction

$$\frac{1}{2}$$  

5

4

2

$$\frac{1}{3}$$  

1/2

2

1/3

3

(x, y) → (y, x)

(x, y) → (x + 4, y + 4)

(x, y) → (x, -y)

(x, y) → (4x, 4y)

$$\left(x,y\right)\rightarrow\left(\frac{1}{2}x,\frac{1}{2}y\right)$$  

$$\left(x,y\right)\rightarrow\left(2x,2y\right)$$