Question

3] Triangle HAM is translated using the rule (x, y) → (x + 6, y) to create triangle H′A′M′. If a line segment is drawn from point H to point H′ and from point A to point A′, which statement would best describe the line segments drawn?
A] They share the same midpoints.
B] They are parallel and congruent.
C] They are diameters of concentric circles.
D] They are perpendicular to each other.

Answer 1

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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