G-GPE.B.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?
Triangle ABC has the following vertices:
A

B

C

Is triangle ABC a
right triangle?
Triangle ABC has the following vertices:
A(
)
B(
)
C(
)
Is triangle ABC a
right triangle?
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