Math Humor Teacher: How many sides does a circle have? Student: Two! Inside and outside!

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5.3 Bisectors in a Triangle

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Presentation transcript:

LT 5.2: Apply properties of perpendicular and angle bisectors of a triangle.

Math Humor Teacher: How many sides does a circle have? Student: Two! Inside and outside!

Vocabulary

The circumcenter can be inside the triangle, outside the triangle, or on the triangle.

Example 13.4

Vocabulary

Unlike the circumcenter, the incenter is always inside the triangle.

Example A. 5 B. 30°

Circumcenter Point Z is the circumcenter. Find TZ and RS. TZ = 5

Find the Circumcenter of a triangle with vertices (0, -1), (0, 5) and (4, 5) 1. Find 2 perpendicular bisectors. X = 2 and y = 2 2. Point of Intersection ( 2, 2)

iNCENTER. Point K is the incenter of the triangle. Find m<RKQ. 60⁰ K 10⁰ Q R

Find m<RKQ. 120° P 60⁰ K 10⁰ Q R