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Name Date Using Coordinates To Prove Theorems Independent Practice Worksheet Complete all the problems. 1. State: Yes or No. Does the point (3, 45) lie on the circle centered at (6, 5), and containing
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How to fill out using coordinates to prove:

01
Start by identifying the problem or statement that needs to be proven using coordinates. This could be a geometric problem, an equation, or any other scenario where coordinates can provide evidence.
02
Familiarize yourself with the coordinate system. Understand the x and y axes, as well as the concept of coordinates as points on a graph.
03
Gather all relevant information and data related to the problem. This may include given points, equations, or geometric figures.
04
Plot the given points on a coordinate grid. Use the x and y coordinates to place each point accurately. If there are no given points, consider deriving them from equations or other information provided.
05
Analyze the relationships between the points, lines, or figures on the coordinate grid. Look for patterns, symmetries, or any other characteristics that might help prove or disprove the statement.
06
Use algebraic techniques if necessary. Convert the geometric figures or relationships into equations that can be solved using the coordinates provided.
07
Perform calculations or manipulations on the coordinates to arrive at a conclusion. This may involve finding slopes, distances, angles, or any other relevant measurements.
08
Make logical arguments based on the evidence provided by the coordinates. Clearly present your findings and explain how the coordinates support or prove the statement in question.

Who needs using coordinates to prove:

01
Mathematicians or students studying advanced mathematics often use coordinates to prove various theorems, properties, and equations.
02
Engineers and scientists frequently rely on coordinates to prove or analyze physical phenomena. This could include calculations related to velocity, force, or trajectories, among others.
03
Architects and designers may use coordinates to prove the feasibility of a construction project or to analyze geometric aspects of a structure.
In summary, anyone who deals with problems that involve geometrical relationships, equations, or measurements can benefit from using coordinates to prove or support their arguments.
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