Question #6436409Single Choice

Geometry

Question

Given triangle ABC and its image A′B′C′ on a coordinate plane, a student claims the two triangles are congruent because triangle ABC is mapped to triangle A′B′C′ by a translation of 6 units right, 2 units down, and a reflection over the x-axis. Is the student's reasoning valid?

Options

No, because reflection over x-axis changes the shape

No, because multiple isometries change the size

Yes, because all steps are isometries

Yes, but only if all side lengths are equal

Answer & Analysis

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