5.1.1 Perpendicular and Angle Bisector Theorems − Practice
1. Given that m ∠ ABC = 44 ° , identify m ∠ DBC .
2. Given that m ∠ NMP = (5 y + 11) ° and m ∠ OMP = (8 y − 13) ° , identify m ∠ NMO .
3. Given that AD is the perpendicular bisector of BC , AB = 15, AC = x , and BD = 0.25 x , identify BC.
4. Given that FE is the perpendicular bisector of DG , DF = 14, FG = 4 x , and DE = 1.25 x , identify DG .
6. Find the equation in point-slope form for the perpendicular bisector of the segment with endpoints J ( − 24, − 4) and K ( − 4, 6).
5. Given that PS is the perpendicular bisector of QR , PQ = 3.5 m + 18, and PR = 6 m + 3, identify PQ .
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