Geometry Name: __________________________ Unit 5 WS 3 Date: ___________________________ A D is the midpoint of AC. E is the midpoint of BC. F is the midpoint of AB. Draw in the three medians. Name the three medians: _______ _______ _______ D F B E C G mÐGJK = 90, mÐKHI = 90, mÐILK = 90. Name the three altitudes: _______ _______ _______ Is H necessarily the midpoint of GI? _______ If H was the midpoint of GI, then KH would not only be an altitude of DKGI, but it would also be a(n) ___________. You could also call KH a(n) ________________ __________________ of GI. L H K J I M If QN is a median, then MN @ _____. If MP is a median, then OP @ ______. If OR is a median, then QR @ ______. N is the ____________ of MO. P is the ____________ of QO. R is the ____________ of QM. R N If RQ = 4, then RM = _______. If OM = 10, then MN = ______. If QP = 6.5, then QO = ______. O Q P

Geometry Name: __________________________ Unit 5 WS 3 Date: ___________________________ AD, BE, CF are medians of DACE. KH, GJ, IL are altitudes of DKGI A K 3x + 2 F B x + 12 L J C 2y + 12 D 5y -6 E G I H x = ______ AF = _______ FE = _______ AE = _______ y = ________ CD = _______ DE = _______ CE = _______ mÐKLI = ______ mÐGJI = ______ mÐKHI = ______ mÐKHG = ______ mÐILG = ______ mÐGJK = ______ Can you conclude that GH @ HI? ______ D Given: DB is the perpendicular bisector of AC. 1.) mÐABD = _________ 2.) mÐDBC = _________ 3.) B is the _____________________ of AC. 4. AB @ ________ A C B 5.) mÐBAD = 30. mÐADB = _______. DADB is a(n) (scalene, isosceles, equilateral) triangle. 6.) mÐBCD = 45. mÐBDC = ________. DDBC is a(n) (scalene, isosceles, equilateral) triangle. 7.) If DB bisects ÐADC and mÐADB = 32, then mÐCDB = _______ and mÐADC = ________. 8.) If AD @ CD, then DADC is a(n) (scalene, isosceles, equilateral) triangle. 9.) If mÐDAB = 42 and mÐDCB = 56, then mÐADC = ____________. 10.) If mÐABD = 12x – 6, then x = ________.

Geometry Topics Medians and Altitudes of Triangles Name: _______________________________ Date: ________________________________ 1. A 2. L K B M J D C If AB = BC, then DB is a(n) ______________ of DDAC. If JK ^ LM, then JK is a(n) __________________ of DLJM. 3. 4. V N VT is a median of DSVW. ST = 3x - 3 TW = 2x + 1 SW = x + 14 P R Q S W T If NQ is both a median and an altitude of DPNR, then NQ can be called a(n) _______________________ _______________________. x = _________ ST = ________ TW = ________ SW = ________