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

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.

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

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

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

  3. Vocabulary

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

  5. Example • 13.4

  6. Vocabulary

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

  8. Example • A. 5 • B. 30°

  9. Circumcenter • Point Z is the circumcenter. Find TZ and RS. • TZ = 5 • RS = 10

  10. 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)

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

  12. Find m<RKQ. 120° P 60⁰ K 10⁰ Q R

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