| 1. Centroid |
The CENTROID(G) of a triangle is the common intersection of the three medians. |
2. Orthocenter |
The ORTHOCENTER(H) of a triangle is the common intersection of the three lines containig the altitudes. |
3. Circumcenter |
The CIRCUMCENTER(C) of a triangle is the point in the plane equidistant from the three vertices of the triangle. |
4. Circumcircle |
The CIRCUMCIRCLE of a triangle is a circumscribed circle that passes three vertices of the triangle, and its center is the circumcenter. |
5. Incenter |
The INCENTER(I) of a triangle is the point on the interior of the triangle that is equidistant from the three sides. |
6. Incircle |
The INCIRCLE of a triangle is a inscribed circle whose center is the incenter. |
7. Medial triangle |
The MEDIAL TRIANGLE is a triangle with vertices as the midpoints of the triangle. |
8. Orthocenter, Mid-segment triangle |
The MID-SEGMENT TRIANGLE is a triangle that is formed by mid-segments of a triangle, which are the line segments joining midpoints of two sides of a triangle. |
9. Orthic triangle |
The ORTHIC TRIANGLE is a triangle joining the feet of the altitudes of the triangle. |
10. Pedal triangle |
The PEDAL TRIANGLE is a triangle whose vertices are the feet of perpendiculars from each vertex of the triangle to their opposite sides in
the triangle. |
11. Center of Nine point circle |
The CENTER OF NINE POINT CIRCLE is the center of the nine point circle. |
12. Nine Point Circle
|
The NINE POINT CIRCLE is a circle that passes through nine significant points, six lying on the triangle itself (unless the triangle is obtuse). They include:
- The midpoint of each side of the triangle
- The foot of each altitude
- The midpoint of the segment of each altitude from its vertex to the orthocenter (where the three altitudes meet)
|
13. Trisecting a line segment |
This is how to draw TRISECTING points of a LINE SEGMENT. |
14. Equilateral triangle, given a side |
The EQUILATERAL TRIANGLE is a triangle that has three congruent sides.
- This is how to draw a EQUILATERAL TRIANGLE with GIVEN SIDE.
|
15. Square, given a side |
The SQUARE is a quadrilateral that has four congruent sides and four congruent angles.
- This is how to draw a SQUARE with GIVEN SIDE.
|
16. Isosceles triangle, given base and altitude |
The ISOSCELES TRIANGLE is a triangle that has two congruent sides. |
17. Triangle Centers (H, G, C, and I) |
The FOUR CENTERS OF TRIANGLES are ORTHOCENTER(H), CENTROID(G), CIRCUMCENTER(C), and INCENTER(I). |
18. Triangle Centers with Euler Line |
The EULER LINE of a triangle is a line that passes the Center of nine point circle, the Circumcenter(C), Centroid(G), and Orthocenter(H) of the triangle. |
19. Locus of vertex of a fixed angle that subtends a fixed segment
|
This is how to draw a LOCUS of the VERTEX of a FIXED ANGLE that SUBSTANDS a FIXED SEGMENT. |
20. Divide a segment AB into two parts that form a golden ratio
|
The GOLDEN RATIO, phi, is 0.6180339887...
- A GOLDEN RATIO of a LINE SEGMENT is the ratio that is the length of the larger portion of the line segment to the length of the whole line segment.
|
21. Pentagon, given a radius
|
The PENTAGON is a polygon that has five sides.
- This is how to draw a PENTAGON with GIVEN RADIUS.
|
22. Pentagon, given a side
|
The PENTAGON is a polygon that has five sides.
- This is how to draw a PENTAGON with GIVEN SIDE.
|
23. Hexagon, given a side
|
The HEXAGON is a polygon that has six sides.
- This is how to draw a HEXAGON with GIVEN SIDE.
|
24. Octagon, given a side
|
The OCTAGON is a polygon that has eight sides.
- This is how to draw a OCTAGON with GIVEN SIDE.
|
Go Back to Michelle's Main Page