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Orthocenter Outside the Obtuse Triangle problems

Centroid Circumcenter Incenter Orthocenter properties example question

In the following video you will learn how to find the coordinates of the Orthocenter located outside the triangle in the standard xy-plane (also known as coordinate plane or Cartesian plane). In acute and right triangles, the Orthocenter does not fall outside of the triangle. However,  when the triangle in question is obtuse, that is, when one of its interior angles measures more than 90 degrees – the Orthocenter will be located outside the triangle. This is when you will need to understand the technique used to find its coordinates.

 

Solution to this Orthocenter in Obtuse Triangle Geometry practice problem is provided in the video below!



Two Column Geometry Proof problems

Two Column Geometry Proof Intersecting Lines example problem

Given: GA = RA, AH = AT

Prove: GT is congruent to RH

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!



Two Column Geometry Proof Trapezoid example

Given: AD = 8, BC = 8, and BC is congruent to CD

Prove: AD is congruent to CD

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!



Two Column Geometry Proof Circle example question

Given:  is a diameter

Prove: (CD)2 = (AD)(DB)

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!



Two Column Geometry Proof Triangle example problem

Given:

Prove:

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!



Two Column Geometry Proof Triangle example #2

Given: with the bisector of

Prove: BFDE is a rhombus

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!



Two Column Geometry Proof Circle example question #2

Given: Circle with center O and diameter  

Prove:

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!



Two Column Geometry Proof Kite example problem

Given: Kite ABCD with

E, F, G, H are midpoints of

Prove: EFGH is a rectangle

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!



Two Column Geometry Proof Triangle example #3

Given: bisects

is a perpendicular bisector of

Prove:

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!



Two Column Geometry Proof Triangle example question #4

Given:  is isosceles and  

Prove:

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!



Two Column Geometry Proof Parallel Lines Transversal Triangle example problem

 

Given:

bisects  

bisects

Prove:

 

Solution to this Two Column Geometric Proof practice problem is given in the video below!






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