Geometry CH6 Lessons 6.3 thru 6.8 Vocab

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Across
  1. 3. a segment that connects the two midpoints of two sides of a triangle.
  2. 6. states that the medians of a triangle intersect at a point, called the centroid, that is two thirds of the distance from each vertex to the midpoint of the opposite side.
  3. 8. states that if one side of a triangle is longer than another side of the triangle, then the angle opposite the longer side is larger than the angle opposite the shorter side.
  4. 11. states that a midsegment of a triangle is parallel to a side of the triangle, and its length is half the length of that side.
  5. 12. states that the sum of any two side lengths of a triangle is greater than the third side length.
Down
  1. 1. states that if two sides of one triangle are congruent to two sides of another triangle, and the third sides are not congruent, then the larger included angle is across from the longer third side.
  2. 2. states that if one angle of a triangle is larger than another angle of the triangle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
  3. 4. a perpendicular segment that connects a vertex to the opposite side or a line containing the opposite side.
  4. 5. states that if two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is across from the larger included angle.
  5. 7. The point of concurrency of the three altitudes of a triangle is the orthocenter of the triangle.
  6. 9. a segment that connects a vertex to the midpoint of the opposite side.
  7. 10. The point of concurrency of the three medians of a triangle is always inside the triangle and is called the centroid of the triangle. The centroid is also called the center of gravity of the triangle.