triangle XYZ was reflected over a vertical line, then dilated by a scale factor of 1 half , resulting in triangle cap x prime cap y prime cap z prime Which must be true of the two triangles? Choose three correct answers.

A reflection preserves shape, and a dilation changes all lengths by the same scale factor, so the triangles are similar; this makes A true. Corresponding angles stay the same, so angle XZY is congruent to angle Y′Z′X′, making B true. The dilation factor is 1/2, so X′Z′ is half of XZ, or equivalently XZ = 2X′Z′, making D true. The corresponding sides are not congruent, and the corresponding angles are not doubled.

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