Question

question 5 of 10

\\( \overline { a b } \\) is included between

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

Explanation:

Step1: Recall the definition of an included side

An included side is a side that is between two angles in a triangle.

Step2: Analyze each option

• Option A: \(\overline{AB}\) and \(\overline{BC}\) are two sides, not angles.
• Option B: \(\overline{BC}\) and \(\overline{AC}\) are two sides, not angles.
• Option C: \(\angle B\) and \(\angle C\) are two angles. The side between them is \(\overline{BC}\), not \(\overline{AB}\).
• Option D: \(\angle A\) and \(\angle B\) are two angles. The side between them is \(\overline{AB}\).

Answer:

D. \(\angle A\) and \(\angle B\)