5-1 Perpendicular and Angle Bisectors
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Anna Chang 10-1 / T2 5-1 Perpendicular and Angle Bisectors
description
5-1 Perpendicular and Angle Bisectors. Anna Chang 10-1 / T2. What is perpendicular bisector?. Perpendicular bisector is a line that cuts a segment into two equal parts, it creates 90 degrees. . Here’s a segment AB . N is the perpendicular bisector of segment AB. - PowerPoint PPT Presentation
Transcript of 5-1 Perpendicular and Angle Bisectors
Anna Chang10-1 / T2
5-1Perpendicular and Angle
Bisectors
Perpendicular bisector is a line that cuts a segment into two equal parts, it creates 90 degrees.
What is perpendicular bisector?
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
Examples
AB
90 degrees
n is the perpendicular bisector of the segmen AB
ㄱ 90 degrees
n is the perpendicular bisector of the segmen AB
90 degrees
n is the perpendicular bisector of XY
90 degrees
Q is the perpendicular bisector of OP
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
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
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
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
Examples
