a segment, ray, line or plane that is perpendicular to a ... · perpendiculars and bisectors...
Post on 21-May-2018
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Perpendiculars and Bisectors
Perpendicular Bisector:
A segment, ray, line or plane that is perpendicular to a
segment at its midpoint.
endpoint
CA CB
equidistant
DA DB
Inthediagramshown,𝑀𝑁 !⃖!!!!!⃗ istheperpendicularbisectorof𝑆𝑇!!!!a.Whatsegmentlengthsinthediagramareequal?NS=NT(Because𝑀𝑁 !⃖!!!!!!⃗ bisects𝑆𝑇!!!!)MS=MT(PerpendicularBisectorTheorem)QS=QT(Thediagramshowsthis)b.ExplainwhyQison𝑀𝑁 !⃖!!!!!!⃗ QS=QT,soQisequidistantfromSandT.Becauseoftheconverseoftheperpendicularbisectortheorem,Qisontheperpendicularbisectorof𝑆𝑇!!!!,whichis𝑀𝑁
sides
CADBAD
sides
DB DC
Congruent
Congruent
Equal
False
𝑚 < 1 = 55°,𝑚 < 2 = 55°, 𝑚 < 3 = 20°,𝑚 < 4 = 70°,𝑚 < 5 = 35°,
𝑚 < 6 = 50°,
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