anna chang 10-1 / t2. perpendicular bisector is a line that cuts a segment into two equal parts, it...
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Anna Chang10-1 / T2
5-1Perpendicular and Angle
Bisectors
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Perpendicular bisector is a line that cuts a segment into two equal parts, it creates 90 degrees.
What is perpendicular bisector?
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Here’s a segment AB N is the perpendicular bisector of segment AB
b/c n is the perpendicular bisector, then it creates a 90 degree angle
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Examples
AB
90 degrees
n is the perpendicular bisector of the segmen AB
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ㄱ 90 degrees
n is the perpendicular bisector of the segmen AB
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90 degrees
n is the perpendicular bisector of XY
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90 degrees
Q is the perpendicular bisector of OP
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If a point lies on the perpendicular bisector of a segment then it is equidistant from both of the endpoints of the segment.
Perpendicular bisector theorem is …
XA=XB
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ExamplesExample 1 : AB and CB1. AB=CB2. 5z+23=6z+143. 9=1z4. Z=95. 5(9)+23
AB=686.6(9)+14
CB=68
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Find XX=24Since l is perpendicular bisector of TU, W is the midpoint of TU. <TWV and <WUV are right angles by def. of perpendicular. Later WV=VW by reflexive property. VT=VU by CPCTSoX=24
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A point lies on the perpendicular bisector of a segment if and only if is equidistant from both of the sides
Converse of Perpedicular Bisector Theorem
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Examples
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