Question

question 39 of 45
△abc has been translated 5 units to the right, as shown in the diagram. what is the length of ab?
a. 15
b. 10
c. 6
d. 31

Explanation:

Step1: Recall translation property

Translation is a rigid - motion transformation. It preserves the shape and size of the figure. That is, the lengths of corresponding sides of the pre - image and the image are equal.

Step2: Identify corresponding sides

In \(\triangle ABC\) and \(\triangle A'B'C'\), \(\overline{AB}\) and \(\overline{A'B'}\) are corresponding sides.

Step3: Determine length of \(\overline{A'B'}\)

Given that the length of \(\overline{AB}=10\). Since translation preserves side - lengths, \(A'B' = AB=10\).

Answer:

B. 10