Almost Friday! Warm-Up… Quickwrite… Describe and correct the error

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Presentation transcript:

Almost Friday! Warm-Up… Quickwrite… Describe and correct the error 1. 2. Quickwrite… What is something that your neighborhood does NOT have that many other neighborhoods or cities have? Why do you think that is? Ex: “One thing my neighborhood does not have is _______________. I think the reason is ______________________________________.”

Compare and Explain… your Warm-Up answers starting with Student #3 (1 min) Describe and correct the error 1. 2.

Round Robin… starting with the student who wrote the most at your table (1 min) What is something that your neighborhood does NOT have that many other neighborhoods or cities have? Why do you think that is? Ex: “One thing my neighborhood does not have is _______________. I think the reason is ______________________________________.”

Homework Answers 6.9 19 78°

Homework Answers

Circumcenter of a triangle

What are Concurrent Lines? They are lines that intersect in the same point This is true of rays and segments as well The point of intersection is called the point of concurrency In a triangle, the three perpendicular bisectors are concurrent The point of concurrency is the circumcenter

Theorem

How do we know this to be true?

Real-Life Example

Location of the Circumcenter The circumcenter P is equidistant from the three vertices, so P is the center of a circle that passes through all three vertices But the location of P depends on the type of triangle The circle with center P is said to be circumscribed about the △