Objective: To identify properties of medians and altitudes of a triangle

5-4 Medians and Altitudes

Using medians and altitudes of a triangle, students will label the centroid and orthocenter of that triangle.

(1, 2)

5-4 QuizThe 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. In ΔACE, G is the centroid and BE = 18. Find BG and GE.

C

FA

D

E

BG

A. BG = 6, GE = 12

B. BG = 12, GE = 6 C. BG = 4, GE = 13 D. BG = 9, GE = 9

2. Where can the lines containing the altitudes of an obtuse triangle intersect?

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

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

3. Name a median for ΔABC.

C B

A

F

D E

A. B. C. D.

4. Where can the medians of a triangle intersect?

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

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

5. For a triangle, list the respective names of the points of concurrency of

• perpendicular bisectors of the sides• bisectors of the angles• medians• lines containing the altitudes

A. B. C. D.

ASSIGNMENT:5-4 p.312-314 #8-32 even omit #30

At the end of your assignment be sure to rate your understanding 4-3-2-1 and tell me why you rated yourself that way in 2 complete sentences.