Since quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 4, the length of segment C'D' s 12 units.
In Mathematics and Euclidean Geometry, dilation is a type of transformation that is used for altering the dimensions of a geometric figure, but not its shape.
By critically observing the graph shown in the image attached below, we can reasonably infer and logically deduce that each interval on the set of axes represent one (1) unit. This ultimately implies that, the length of segment CD is given by;
Length of segment = 3 units.
Next, we would dilate segment CD by a scale factor of 4 by multiplying as follows;
Length of segment C'D' = 3 × 4
Length of segment C'D' = 12 units.
Complete Question:
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 4. What is the length of segment C'D'?