Geometry Vocab - Ava R

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Across
  1. 3. When two quantities have a constant ratio. In geometry, sides of similar figures are proportional, meaning the ratio of the lengths of corresponding sides is constant.
  2. 5. The point where the three medians of a triangle intersect. It is the center of mass or balance point of the triangle and divides each median into a 2:1 ratio, with the longer segment being closer to the vertex.
  3. 6. Being the same distance from two or more objects or points.
  4. 8. Bisector: A line or ray that divides an angle into two equal smaller angles.
  5. 10. A perpendicular segment from a vertex of a triangle to the line containing the opposite side. It represents the height of the triangle.
  6. 12. In geometry, "corresponding" refers to objects (like angles or sides) that match up with each other in two figures that are congruent or similar. For example, in similar triangles, corresponding angles are equal, and corresponding sides are proportional.
  7. 13. A line segment that joins a vertex of a triangle to the midpoint of the opposite side. It divides the triangle into two smaller triangles of equal area.
Down
  1. 1. The point where the perpendicular bisectors of a triangle intersect. It is equidistant from all three vertices of the triangle and is the center of the circumcircle (the circle passing through all three vertices).
  2. 2. The point where the altitudes of a triangle intersect. The position of the orthocenter can be inside, outside, or on the triangle, depending on the type of triangle.
  3. 3. of Congruency: This term typically refers to a point where certain geometric lines or segments (like medians, altitudes, or angle bisectors) meet. For example, the centroid is the point of congruency of the medians.
  4. 4. Lines: Three or more lines that intersect at a single point.
  5. 7. Bisector: A line that divides a line segment into two equal parts at a 90° angle (perpendicular to the segment).
  6. 9. The point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle and is the center of the incircle (the circle inscribed within the triangle).
  7. 11. Figures: Figures that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are proportional.