- AAD
- BAB
- CBC
- DAM
Step-by-Step Solution
A median joins a vertex to the midpoint of the opposite side. M is the midpoint of BC (BM = MC), so AM is the median. AD, perpendicular to BC, is the altitude.
Answer: D) AM
Two segments are drawn from A to side BC: the dashed segment AD, which has a right-angle mark at D, and the orange segment AM. The double tick marks show BM = MC. Which segment is the median of triangle ABC?
Class 7The Triangle and its PropertiesTriangles
Key idea: Exterior angle property
Extend one side of a triangle past a vertex. The angle formed outside the triangle is the **exterior angle** at that vertex.
**Exterior angle = sum of the two opposite interior angles.**
So if the two non-adjacent interior angles are 50° and 60°, the exterior angle = 50° + 60° = 110°.
Why? The exterior angle and the adjacent interior angle form a linear pair (sum 180°), and the three interior angles also sum to 180°. Subtract: exterior = sum of the other two interior angles.
**Exterior angle = sum of the two opposite interior angles.**
So if the two non-adjacent interior angles are 50° and 60°, the exterior angle = 50° + 60° = 110°.
Why? The exterior angle and the adjacent interior angle form a linear pair (sum 180°), and the three interior angles also sum to 180°. Subtract: exterior = sum of the other two interior angles.
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