Triangle abc is located at a(-4, 5), b (-4, -1), and c(-1,1). a translation of the triangle is located at a’(-2, 8), b’(-2, 2), and c’(1, 4). how is the triangle translated?
a. triangle abc is translated 3 units left and 2 units down.
b. triangle abc is translated 2 units left and 3 units up.
c. triangle abc is translated 2 units right and 3 units up.
d. triangle abc is translated 3 units right and 2 units up.

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step-by-step explanation:

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answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.