Question

question 7 of 10
\\( \angle a \\) is opposite

\\( \circ \\) a. \\( \overline { a c } \\)
\\( \circ \\) b. \\( \angle a \\)
\\( \circ \\) c. \\( \overline { b c } \\)
\\( \circ \\) d. \\( \overline { a b } \\)
\\( \circ \\) e. \\( \angle c \\)
\\( \circ \\) f. \\( \overline { a b } \\) and \\( \overline { a c } \\)

Explanation:

Step1: Recall the definition of opposite side in a triangle

In a triangle, an angle is opposite the side that does not form the angle.

Step2: Analyze each option

• Option A: \(\overline{AC}\) forms angle \(A\) (along with \(\overline{AB}\)), so it is not opposite \(\angle A\).
• Option B: \(\angle A\) is the angle itself, not a side opposite to it.
• Option C: \(\overline{BC}\) does not form \(\angle A\). In \(\triangle ABC\), \(\angle A\) is formed by \(\overline{AB}\) and \(\overline{AC}\), and \(\overline{BC}\) is opposite \(\angle A\).
• Option D: \(\overline{AB}\) forms angle \(A\) (along with \(\overline{AC}\)), so it is not opposite \(\angle A\).
• Option E: \(\angle C\) is an angle, not a side opposite to \(\angle A\).
• Option F: \(\overline{AB}\) and \(\overline{AC}\) form \(\angle A\), so they are not opposite \(\angle A\).

Answer:

C. \(\overline{BC}\)