16. The orthocenter of \( \triangle \mathrm{ABC} \) point \( \qquad \) Directions: Write the letter of the term in the blank to correctly fill in the blank to the statement. \( \qquad \) 17. Three or more lines that intersect at a common point are called \( \qquad \) lines. A. parallel B. perpendicular C. concurrent \( \qquad \) 18. Any point on the perpendicular bisector of a segment is \( \qquad \) the endpoints of the segment. A. parallel to B. congruent to C. equidistant from \( \qquad \) 19. \( \mathrm{A}(\mathrm{n}) \) \( \qquad \) of a triangle is a segment drawn from a vertex of a triangle perpendicular to the line containing the opposite side. A. altitude B. angle bisector C. median D. perpendicular bisector \( \qquad \) 20. The point of concurrency of the three perpendicular bisectors of a triangle is called the \( \qquad \) A. orthocenter B. circumcenter C. incenter D. centroid
Upstudy AI Solution
Answer
Solution
Answered by UpStudy AI and reviewed by a Professional Tutor
Explain 
Simplify this solution Beyond the Answer
In the realm of geometry, the orthocenter is one of the fascinating points of concurrency of a triangle! It is where all three altitudes intersect, which can be quite exciting because its location changes based on the type of triangle; it can be inside for acute triangles, on the vertex for right triangles, or outside for obtuse triangles! Let's not forget about the circumcenter! This is another key player in triangle geometry, and it's the intersection point of the three perpendicular bisectors of a triangle's sides. What's cool is that this point is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle—making it essential for constructions and geometric proofs!
