5-4 Medians and Altitudes Using medians and altitudes of a triangle, students will label the centroid and orthocenter of that triangle. 5-4 Medians and Altitudes Objective: To identify properties of medians and altitudes of a triangle

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

III. outside the triangle 2. Where can the lines containing the altitudes of an obtuse triangle intersect? I only I or II only III only I, II, or III I. inside the triangle II. on the triangle III. outside the triangle Non-Response Grid

3. Name a median for ΔABC.   Non-Response Grid

4. Where can the medians of a triangle intersect? I. inside the triangle II. on the triangle III. outside the triangle I only III only I or III only I, II, or III Non-Response Grid

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 Non-Response Grid

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