Question

answer the question below. type your response in the space provided.

polygon abcd is translated to create polygon abcd. point a is located at (1, 5), and point a is located at (-2, 1). what is the distance from b to b?

Explanation:

Step1: Calculate the translation distance using the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For points \(A(1,5)\) and \(A'(-2,1)\), we have \(x_1 = 1,y_1 = 5,x_2=-2,y_2 = 1\).

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Step2: Use the property of translation

In a translation, every point of the original polygon is moved the same distance. So the distance from \(B\) to \(B'\) is the same as the distance from \(A\) to \(A'\).

Answer:

\(5\)