Geometry: An Interactive Journey to Mastery

(Greg DeLong) #1

Glossary


PHGLDQRIDWUDSH]RLGͼ௘௘ͽ: If a trapezoid has just one pair of parallel sides, then the line segment connecting
the midpoints of the two remaining sides is the median of the trapezoid. 6HHDOVR trapezoid.
PHGLDQRIDWULDQJOHͼ௘௘ͽ: $OLQHVHJPHQWWKDWFRQQHFWVRQHYHUWH[RIDWULDQJOHWRWKHPLGSRLQWRILWVRSSRVLWH
VLGHͼ௘(DFKWULDQJOHSRVVHVVHVWKUHHPHGLDQVDQGWKH\DOOSDVVWKURXJKDFRPPRQSRLQWFDOOHGWKHFHQWURLGRI
WKHWULDQJOH௘ͽ
PLGSRLQWͼ௘௘ͽ: $SRLQWM is a midpoint of line segment AB if M lies on the segment and AM = MB.
NJRQͼ௘௘ͽ: $SRO\JRQZLWKN sides. 6HHDOVR polygon.
REWXVHDQJOHͼ௘௘ͽ: $QDQJOHZLWKPHDVXUHVWULFWO\EHWZHHQƒDQGƒLVREWXVH
REWXVHWULDQJOHͼ௘௘ͽ: $WULDQJOHZLWKRQHLQWHULRUDQJOHWKDWLVDQREWXVHDQJOH6HHDOVRobtuse angle.
RULJLQͼ௘௘ͽ7KHSRLQWLQWKH&DUWHVLDQSODQHZLWKFRRUGLQDWHVͼ௘௘ͽ
SDUDERODͼ௘௘ͽ: Given a line m and a point F not on that line, the set of all points P equidistant from m and P
IRUPDFXUYHFDOOHGDSDUDERODFLVFDOOHGWKHIRFXVRIWKHSDUDERODDQGmLVLWVGLUHFWUL[
SDUDOOHOͼ௘௘ͽ: 7ZROLQHVHDFKLQ¿QLWHLQH[WHQWDUHSDUDOOHOLIWKH\QHYHUPHHW
SDUDOOHORJUDPͼ௘௘ͽ: $TXDGULODWHUDOZLWKWZRSDLUVRISDUDOOHOVLGHV
SHUSHQGLFXODUͼ௘௘ͽ7ZROLQHVRUOLQHVHJPHQWVWKDWLQWHUVHFWDWDQDQJOHRIƒDUHSHUSHQGLFXODU
SHUSHQGLFXODUELVHFWRUͼ௘௘ͽ: 7KHSHUSHQGLFXODUELVHFWRURIDOLQHVHJPHQWLVDOLQHWKURXJKWKHPLGSRLQWRIWKH
segment and perpendicular to it. 6HHDOVRmidpoint.
SLͼ௘௘ͽ,QÀDWJHRPHWU\WKHUDWLRRIWKHFLUFXPIHUHQFHRIDFLUFOHWRLWVGLDPHWHULVWKHVDPHIRUDOOFLUFOHV7KH
common value of this ratio is called pi and is denoted ʌ.
SODQDUJHRPHWU\ͼ௘௘ͽ7KHVWXG\RI¿JXUHVOLQHVFXUYHVSRLQWVDQGVKDSHVGUDZQLQDSODQH
SRO\JRQͼ௘௘ͽ: $SODQDU¿JXUHFRPSRVHGRIVWUDLJKWOLQHVHJPHQWVͼ௘FDOOHGVLGHVRUHGJHV௘ͽVRWKDW
x VLGHVLQWHUVHFWRQO\DWWKHLUHQGSRLQWVͼ௘WKHHQGSRLQWVDUHFDOOHGWKHYHUWLFHVRIWKHSRO\JRQ௘ͽ
x SUHFLVHO\WZRVLGHVPHHWDWHDFKHQGSRLQWDQG
x WZRVLGHVPHHWLQJDWDYHUWH[PDNHDQDQJOHGLIIHUHQWIURPƒ
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