G-GPE.4
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).
Example Problems
Triangle ABC has the following vertices:
A
B
C
Is triangle ABC a right triangle?
A
B
C
Is triangle ABC a right triangle?
Triangle ABC has the following vertices:
A
B
C
Is triangle ABC a right triangle?
A
B
C
Is triangle ABC a right triangle?
Triangle ABC has the following vertices:
A()
B()
C()
Is triangle ABC a right triangle?
A()
B()
C()
Is triangle ABC a right triangle?
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