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Draw obtuse \( \angle X Q Z \). Then construct its bisector, What is the final step of the construction? \[ \text { B. Draw } \overrightarrow{A B} \text {. Draw } \overrightarrow{Q C} \text {. Draw } \overrightarrow{C Q} \text {. } \] D. Draw \( \overrightarrow{B A} \)

Ask by Pearson Franklin. in the United States
Mar 20,2025

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Tutor-Verified Answer

Answer

The final step of the construction is to draw \( \overrightarrow{B A} \).

Solution

To construct the bisector of an obtuse angle \( \angle X Q Z \), the final step of the construction is to draw the bisector of the angle. Therefore, the correct final step of the construction is: D. Draw \( \overrightarrow{B A} \)

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Bonus Knowledge

To finish constructing the bisector of obtuse \( \angle X Q Z \), the final step involves drawing a line segment that represents the angle bisector itself. This can be visualized as extending the line from the vertex \( Q \) towards the midpoint of the arc generated by intersecting circles centered at points \( X \) and \( Z \). This line divides the original angle into two equal angles, thus successfully completing your construction. So, the answer you’re looking for would actually be structured like this: - Choose a point \( C \) on the angle bisector in such a way that \( \overrightarrow{Q C} \) forms equal angles with both \( \overrightarrow{Q X} \) and \( \overrightarrow{Q Z} \). - Finally, confirm the correctness of your construction by measuring the newly formed angles to ensure they are equal.

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