G-GPE.B.4
Use coordinates to prove simple geometric theorems algebraically including the distance formula and its relationship to the Pythagorean Theorem. 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
What is the distance between the following points?
and
Round your answer to the nearest hundredth, if necessary.
and
Round your answer to the nearest hundredth, if necessary.
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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