Question #6436457Single Choice

Geometry

Question

Given triangle XYZ and triangle X′Y′Z′, a student claims that they are congruent because triangle XYZ was reflected over the x-axis, then rotated 180° about the origin to map onto triangle X′Y′Z′. Is this a valid justification?

Options

Yes, because both steps are isometries

No, because 180° rotation changes side lengths

No, because reflection destroys angle measures

Yes, but only if the triangle is isosceles

Answer & Analysis

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