1/3=.33333333, which is 33%
Answer:
Here's what I get.
Step-by-step explanation:
When you dilate an object by a scale factor, you multiply its coordinates by the same number.
If the scale factor is 4, the rule is (x, y) ⟶ (4x, 4y)
Your table then becomes
![\begin{array}{lcl}\textbf{Vertices of}& \, & \textbf{Vertices of}\\\textbf{VWXY}& \, & \textbf{V'W'X'Y'}\\V(-1 ,1) & \quad & V'(-4, 4)\\W(-1, 2) & \quad & W'(-4, 8)\\X(2, -1) & \quad & X'(8 ,-4)\\Y(2, 2) & \quad & Y'(8, 8)\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blcl%7D%5Ctextbf%7BVertices%20of%7D%26%20%5C%2C%20%26%20%5Ctextbf%7BVertices%20of%7D%5C%5C%5Ctextbf%7BVWXY%7D%26%20%5C%2C%20%26%20%5Ctextbf%7BV%27W%27X%27Y%27%7D%5C%5CV%28-1%20%2C1%29%20%26%20%5Cquad%20%26%20V%27%28-4%2C%204%29%5C%5CW%28-1%2C%202%29%20%26%20%5Cquad%20%26%20W%27%28-4%2C%208%29%5C%5CX%282%2C%20-1%29%20%26%20%5Cquad%20%26%20X%27%288%20%2C-4%29%5C%5CY%282%2C%202%29%20%26%20%5Cquad%20%26%20Y%27%288%2C%208%29%5C%5C%5Cend%7Barray%7D)
The diagram below shows figure VVXY as a green bow-tie and its image V'W'X'Y' in orange.
The scale factor is greater than one, so the dilation is an enlargement.
The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:
In other words:
• If d is positive and
![\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%7Cx%7C%3Dd%20%5C%5C%20%5Ctext%7B%20then%7D%20%5C%5C%20x%3Dd%5Ctext%7B%20or%20%7Dx%3D-d%20%5Cend%7Bgathered%7D)
• If d is negative and
![\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%7Cx%7C%3D-d%20%5C%5C%20%5Ctext%7Bthen%7D%20%5C%5C%20%5Ctext%7B%20No%20solution%2C%20because%20distance%20%28d%29%20can%20not%20be%20negative.%7D%20%5Cend%7Bgathered%7D)
Therefore, the equation that has no solutions is:
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