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Notes

Questions

\(\textbf{1)}\) Sketch a median on the triangle below

Show Median

Note: This is 1 possible median, there are two others

\(\textbf{2)}\) Sketch a perpendicular bisector on the triangle below

Show Perpendicular Bisector

Note: This is 1 possible perpendicular bisector, there are two others

\(\textbf{3)}\) Sketch an altitude on the triangle below

Show Altitude

Note: This is 1 possible altitude, there are two others

\(\textbf{4)}\) Sketch an angle bisector on the triangle below

Show Angle Bisector

Note: This is 1 possible angle bisector, there are two others

\(\textbf{5)}\) Find the centroid of the triangle created with \((5,4), (-2,7), \text{and} (3,4)\)

Show Centroid

The centroid is \((2,5)\)

\(\textbf{6)}\) Find the orthocenter of the triangle created with \((4,-5), (7,2), \text{ and } (8,3)\)

Show Orthocenter

The orthocenter is \((-13,12)\)

\(\textbf{7)}\) Find the circumcenter of the triangle created with \((2,5), (6,5), \text{ and } (2,1)\)

Show Circumcenter

The circumcenter is \((4,3)\)

See Related Pages\(\)

\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)

\(\bullet\text{ Centroid}\)
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\(\bullet\text{ Orthocenter}\)
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\(\bullet\text{ Circumcenter}\)
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Andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. If you have any requests for additional content, please contact Andy at tutoring@andymath.com. He will promptly add the content.

Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.

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