Orthocenter and the Euler Line Worksheet with Answer Key

What's on the worksheet

1. 32° 46° A B C D In the figure, AD is the altitude from A in ABC.
2. 32° 39° A B C E F D H In the figure, the altitudes AD and BE of ABC meet at H, and line CH meets AB at F.
3. Two of the altitude lines of ABC are y = x + 1 and y = -2x + 7.
4. A triangle has circumcenter O(1, 1) and orthocenter H(3, 2).
5. Emma says:
6. Liam was asked for the orthocenter of the triangle with vertices A(1, 7), B(-7, 1) and C(5, -5).
7. In ABC, m A = 45^, m B = 25^ and m C = 110^.
8. A triangle has vertices A(0, a), B(b, 0) and C(c, 0), where a > 0 and b < c.