AIR MATH

Math Question

The image of \( \triangle \mathrm{ABC} \) after a reflection across \( \overleftrightarrow{\mathrm{EC}} \) Which triangle must be a right triangle and why? is \( \triangle \mathrm{A}^{\prime} \mathrm{B}^{\prime} \mathrm{C}^{\prime} \). \( \triangle \mathrm{A}^{\prime} \mathrm{B}^{\prime} \mathrm{C}^{\prime} \) is right because it is the image of \( \triangle \mathrm{ABC} \). \( \triangle \mathrm{ADC} \) is right because \( \overline{\mathrm{AA}^{\prime}} \) intersects \( \overline{\mathrm{AC}} \) at \( \mathrm{A} \). \( \triangle B C C^{\prime} \) is right because \( B \) lies of the line of reflection. \( \triangle B G C \) is right because \( \overleftrightarrow{\mathrm{EC}} \perp \overline{\mathrm{CC}^{\prime}} \).

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