Answer :
The length of segment A'E' of the new formed pentagon is 5 units.
How to find the length of the line segment?
We are given that:
Pentagon A’B′C′D′E’, is the image of pentagon ABCDE under a dilation with a scale factor of 5/2.
From the attached graph, we see that the coordinates of the points A and E, in the pentagon ABCDE with reference to point A are;
A- (0, 0)
E- (0, 2)
The length of the segment AE is:
AE = √((2-0)² + (0 - 0)²)
AE = √2²
AE = 2
When a pentagon ABCDE is dilated to pentagon A'B'C'D'E' with a scale factor of 5/2, we have;
Length of segment A'E' = 5/2 × Length of segment AE
Thus;
Length of segment A'E' = 5/2 × 2
Length of segment A'E' = 5 units.
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Complete question is:
Pentagon A’B′C′D′E’, is the image of pentagon ABCDE under a dilation with a scale factor of 5/2.
Find the length of the line segment A'E'.
