Question

willhite_k geometry a_section 1_fall 25/26 / unit 5 - triangle properties

1. choose the correct answer.

a median is a segment that extends from the ____ of a triangle to the midpoint of the opposite side.

• centroid
• opposite
• vertex
• circumcenter

Explanation:

To solve this, we recall the definition of a median in a triangle. A median is a line segment joining a vertex of a triangle to the midpoint of the opposite side. Let's analyze each option:

• Centroid: It's the point where medians intersect, not the start of a median.
• Opposite: This term doesn't fit the definition (it's not a part of the triangle like a vertex).
• Vertex: Matches the definition of the start point of a median.
• Circumcenter: It's the center of the circumscribed circle, unrelated to the median's start.

Answer:

C. vertex (assuming the options are labeled with C for vertex; if the original options have labels like A, B, C, D, we need to check the original labels. From the options given, the correct one is the "vertex" option, so if the options are A. centroid, B. opposite, C. vertex, D. circumcenter, then the answer is C. vertex)