ASSIGNMENT 5

by Soo Jin Lee

1. Centroid

2. Orthocenter

3. Circumcenter

4. Circumcircle

5. Incenter

6. Incircle

7. Medial triangle;

the triangle formed by joining the midpoints of the sides of a triangle

8. Orthocenter, Mid-segment triangle;

a Mid-Segment Triangle is a triangle created from a larger triangle. Once the orthocenter on the larger triangle is constructed, the mid-segment triangle uses the midpoint of each vertex to the orthocenter as the vertices.

9. Orthic triangle;

an Orthic Triangle is similar to a medial triangle, but uses the intersection points of the altitudes of the larger triangle as its vertices.

10. Pedal triangle;

the pedal triangle of P is the triangle whose polygon vertices are the feet of the perpendiculars from P to the side lines.

11. Center of Nine point circle;

the nine-point circle, also called Euler's circle or the Feuerbach circle, is the circle that passes through the feet of the perpendicular , , and dropped from the vertices of any triangle on the sides opposite them.

12. Nine Point Circle

the nine-point circle, also called Euler's circle or the Feuerbach circle, is the circle that passes through the feet of the perpendicular , , and dropped from the vertices of any triangle on the sides opposite them.

13. Trisecting a line segment

If you click thrisectiong line segmetn, you can see the segment AB is trisected by two points D, E.

14. Equilateral triangle, given a side

15. Square, given a side

16. Isosceles triangle, given base and altitude

17. Triangle Centers

18. Triangle Centers with Euler Line;

The line on which the orthocenter, triangle centroid, circumcenter, nine-point center, and number of other important triangle centers lie.

19. Locus of vertex of a fixed angle that subtends a fixed segment.

20. Divide a segment AB into two parts that form a golden ratio.