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Mathematics, 23.03.2021 18:40 evandlubbep6bsvu

Triangle ABC has vertices A(3,1), B(4,5), C(2,3) and triangle DEF has vertices D(-1, -3), E(-5,-4), F(-3,-2). Which of the following proves the two triangles are congruent?

a. The triangles are congruent because triangle ABC can be mapped onto triangle DEF by a rotation of 90°
clockwise around the origin followed by a reflection across the x-axis.

b. The triangles are congruent because triangle ABC can be mapped onto triangle DEF by a reflection across
the y-axis followed by rotation of 90° clockwise around the origin.

C. The triangles are congruent because triangle ABC can be mapped onto triangle DEF by a translation of
(x, y) → (x - 4, y), followed by a second translation (x, y) → (x, y - 6).

d. The triangles are congruent because triangle ABC can be mapped onto triangle DEF by a rotation of 90°
counterclockwise around the origin followed by a reflection across the x-axis.

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