Triangle DEF is translated using the rule (x, y) → (x − 2, y − 3) to create triangle D′E′F′. If a line segment is drawn from point D to point D′ and from point E to point E′, which statement would best describe the line segments drawn? (1 point)
They share the same midpoints.
They are parallel and congruent.
They create diameters of concentric circles.
They are perpendicular to each other.

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23-02-2022
Mathematics

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Triangle DEF is translated using the rule (x, y) → (x − 2, y − 3) to create triangle D′E′F′. If a line segment is drawn from point D to point D′ and from point E to point E′, which statement would best describe the line segments drawn? (1 point)
They share the same midpoints.
They are parallel and congruent.
They create diameters of concentric circles.
They are perpendicular to each other.

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abidemiokin abidemiokin · Answer 1 · 2022-03-09T09:26:04+01:00

The statement that would best describe the line segments drawn in that they are parallel and congruent.

Translations of figures

A translation moves a shape up, down, or from side to side but it does not change its appearance in any other way.

If the triangle DEF is translated using the rule (x, y) → (x − 2, y − 3) to create triangle D′E′F′, the sides of the triangle DF will be congruent to D'E'F'.

Hence we can conclude that the statement that would best describes the line segments drawn in that they are parallel and congruent.

Learn more on translation here: https://brainly.com/question/12861087