GM:G-GPE: Expressing Geometric Properties with Equations

Expressing Geometric Properties with Equations

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GM:G-GPE.ATranslate between the geometric description and the equation for a conic section.GM:G-GPE.BUse coordinates to prove simple geometric theorems algebraically.
Example Problems
The equation of a circle is given below.


What is its center?
What is the distance between the following points?
and
Round your answer to the nearest hundredth, if necessary.
Point M is the midpoint of point A and point B. Find the coordinates of point B.


Write the equation of a line that is parallel to and that passes through the point .
Triangle ABC has the following vertices:
A

B

C

Is triangle ABC a
right triangle?
Goblins

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