They are parallel and congruent if a line segment is drawn from point H to point H′ and from point A to point A′.
Triangle HAM is translated using the rule (x, y) → (x + 6, y) to create triangle H′A′M′.
Let's consider triangle HAM has :
coordinate of H = (6, 8)
coordinate of A = (5, 5)
coordinate of M = (7, 5)
Using the rule (x, y) → (x + 6, y) to create triangle H′A′M′, then triangle H′A′M′ has :
coordinate of H' = (12, 8)
coordinate of A' = (11, 5)
coordinate of M' = (13, 5)
As per the translation of the triangle which is given in the attached graph,
we conclude that If a line segment is drawn from point H to point H′ and from point A to point A′, they are parallel and congruent.
Thus, the correct answer would be an option (B).
To learn more about the transformations click here :
brainly.com/question/28029674
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