Unit 4 Lesson 8 median and perpendicular bisector notes Statements Reasons _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ For triangle A(-6,6), C(2, 10) , B (4, -4) find the equation of the median from the vertex A. For triangle A(-6,6), C(2, 10) , B (4, -4) find the equation of the median from the vertex B. Could a segment be both a median and an altitude? Yes! We call this a perpendicular bisector. However, not all perpendicular bisectors go through a vertex. Name the segments from the given figure. Altitude:__________ Median: __________ Perpendicular bisector _________ Angle bisector ____________ In △ ABC , DE is perpendicular bisector of AC with D on AC . If AD = 2y +4, CD = y +12 and m∠EDC = 5( x − 12) . Find the value of x and y. Find length of AD, DC, and AC. AD = _______ DC = _________ AC = __________ In ∆DEG FH is a perpendicular bisector of DG with H on DG . If DH = 2y +3, GH = 7y – 42, and m∠FHG = ( x 2 + 9) , then find the value of x and y. What is the measure of DG? Find the equation of the perpendicular bisector of PU for P (-4, -4), U (7, -1), K (-2, 1) Triangle Find the equation of perpendicular bisector of UK for P(-4, -4), U(7, -1), K(-2, 1) triangle P R S Statements Reasons _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ Statements Reasons _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________
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