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(nif: Tronsformations
Name
Date
Pd
SCALE FACTOR AND DILATIONS
Draw a line from the arrow on card 
A to its solution in the top corner of a card in column #2. Continue to draw lines showing the path from each card to its solution in the opposite column until you end back at the solution on card 
A.
COLUMN # 1
A in the dilation below.
in the dilation below.

7cm
I

G^(')
G in the dilation below.
COLUMN #2
The figure will be dilated by a scale factor of 1.2. Find the new length. 40x
48
1.5
The figure will be dilated by 
aD
scale factor of 3.5 . Find the new measure of the base.
The figure will be dilated by a scale factor of 0.2 . Find the new width.
0.8
The figure will be dilated by 
H scale factor of 5 . Find the new height.

(nif: Tronsformations\newlineName\newlineDate\newlinePd\newlineSCALE FACTOR AND DILATIONS\newlineDraw a line from the arrow on card A A to its solution in the top corner of a card in column \#22. Continue to draw lines showing the path from each card to its solution in the opposite column until you end back at the solution on card A A .\newlineCOLUMN \# 11\newlineA in the dilation below.\newlinein the dilation below.\newline7 cm 7 \mathrm{~cm} \newlineI\newlineG G^{\prime} \newlineG in the dilation below.\newlineCOLUMN \#22\newlineThe figure will be dilated by a scale factor of 11.22. Find the new length. 4040x\newline4848\newline11.55\newlineThe figure will be dilated by aD a D \newlinescale factor of 33.55 . Find the new measure of the base.\newlineThe figure will be dilated by a scale factor of 00.22 . Find the new width.\newline00.88\newlineThe figure will be dilated by H \mathrm{H} scale factor of 55 . Find the new height.

Full solution

Q. (nif: Tronsformations\newlineName\newlineDate\newlinePd\newlineSCALE FACTOR AND DILATIONS\newlineDraw a line from the arrow on card A A to its solution in the top corner of a card in column \#22. Continue to draw lines showing the path from each card to its solution in the opposite column until you end back at the solution on card A A .\newlineCOLUMN \# 11\newlineA in the dilation below.\newlinein the dilation below.\newline7 cm 7 \mathrm{~cm} \newlineI\newlineG G^{\prime} \newlineG in the dilation below.\newlineCOLUMN \#22\newlineThe figure will be dilated by a scale factor of 11.22. Find the new length. 4040x\newline4848\newline11.55\newlineThe figure will be dilated by aD a D \newlinescale factor of 33.55 . Find the new measure of the base.\newlineThe figure will be dilated by a scale factor of 00.22 . Find the new width.\newline00.88\newlineThe figure will be dilated by H \mathrm{H} scale factor of 55 . Find the new height.
  1. Apply Scale Factor: To solve this problem, we need to apply the scale factor to the original dimensions of each figure to find the new dimensions. The formula for dilation is New Dimension=Original Dimension×Scale Factor\text{New Dimension} = \text{Original Dimension} \times \text{Scale Factor}.
  2. Calculate New Length: For the first figure, the original length is 7cm7\,\text{cm} and the scale factor is 1.21.2. To find the new length, we multiply the original length by the scale factor: New Length = 7cm×1.27\,\text{cm} \times 1.2.
  3. Find New Base: Performing the calculation for the first figure: New Length = 7cm×1.2=8.4cm7\,\text{cm} \times 1.2 = 8.4\,\text{cm}.
  4. Determine New Width: For the second figure, we are given a base with an unknown original length and a scale factor of 3.53.5. The new measure of the base will be the original length multiplied by the scale factor: New Base == Original Base ×3.5\times 3.5.
  5. Compute New Height: Since we do not have the original base length for the second figure, we cannot calculate the new base length. We can only express it in terms of the original base length as New Base = Original Base ×3.5\times 3.5.
  6. Compute New Height: Since we do not have the original base length for the second figure, we cannot calculate the new base length. We can only express it in terms of the original base length as New Base =Original Base×3.5= \text{Original Base} \times 3.5.For the third figure, we are given a width with an unknown original width and a scale factor of 0.20.2. The new width will be the original width multiplied by the scale factor: New Width =Original Width×0.2= \text{Original Width} \times 0.2.
  7. Compute New Height: Since we do not have the original base length for the second figure, we cannot calculate the new base length. We can only express it in terms of the original base length as New Base = Original Base ×3.5\times 3.5.For the third figure, we are given a width with an unknown original width and a scale factor of 0.20.2. The new width will be the original width multiplied by the scale factor: New Width = Original Width ×0.2\times 0.2.Since we do not have the original width for the third figure, we cannot calculate the new width. We can only express it in terms of the original width as New Width = Original Width ×0.2\times 0.2.
  8. Compute New Height: Since we do not have the original base length for the second figure, we cannot calculate the new base length. We can only express it in terms of the original base length as New Base = Original Base ×3.5\times 3.5.For the third figure, we are given a width with an unknown original width and a scale factor of 0.20.2. The new width will be the original width multiplied by the scale factor: New Width = Original Width ×0.2\times 0.2.Since we do not have the original width for the third figure, we cannot calculate the new width. We can only express it in terms of the original width as New Width = Original Width ×0.2\times 0.2.For the fourth figure, we are given a height with an unknown original height and a scale factor of 55. The new height will be the original height multiplied by the scale factor: New Height = Original Height ×5\times 5.
  9. Compute New Height: Since we do not have the original base length for the second figure, we cannot calculate the new base length. We can only express it in terms of the original base length as New Base = Original Base ×3.5\times 3.5.For the third figure, we are given a width with an unknown original width and a scale factor of 0.20.2. The new width will be the original width multiplied by the scale factor: New Width = Original Width ×0.2\times 0.2.Since we do not have the original width for the third figure, we cannot calculate the new width. We can only express it in terms of the original width as New Width = Original Width ×0.2\times 0.2.For the fourth figure, we are given a height with an unknown original height and a scale factor of 55. The new height will be the original height multiplied by the scale factor: New Height = Original Height ×5\times 5.Since we do not have the original height for the fourth figure, we cannot calculate the new height. We can only express it in terms of the original height as New Height = Original Height ×5\times 5.

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