5-3 Bisectors in Triangles

To identify properties of perpendicular bisectors and

angle bisectors.

Using perpendicular and angle bisectors, students will identify the circumcenter and the incenter of different triangles.

5-3 Quiz• The following questions are designed to help

you decide if you understood today’s lesson.• Please come and talk to me if you miss one

and you do not understand why.• Be sure to record the number you get right on

your portfolio sheet.

1. Which diagram shows a point P an equal distance from points A, B, and C?

A. B. C. D.

A. B. C. D.

2. Find the circumcenter of the triangle.

(–2, –1)

(–2, 4)

(1, –1) 5–5 x

5

–5

yA. (–2, )B. (-, )

3. Where can the perpendicular bisectors of the sides of a right triangle intersect?

I. inside the triangleII. on the triangleIII. outside the triangle

A. I onlyB. II onlyC. I or II onlyD. I, II, or III

4. Name the point of concurrency of the angle bisectors.

A. AB. BC. CD. Not shown

A. I onlyB. III onlyC. I or III onlyD. I, II, or III

5. Where can the bisectors of the angles of an obtuse triangle intersect?

I. inside the triangleII. on the triangleIII. outside the triangle

Assignment• 5-3 p.305-306 #8-28 even OMIT

#20 & 24 (do not do)• At the end of the lesson I want you

to rate your understanding. 4-3-2-1 And write 2 complete sentences elaborating on why you rated yourself that way.