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CHAPTER7.7Y
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à 7.7èInscribed Geometric Figures å Constructions
äèPlease answer ê followïg questions about geometric
figures.
â
èèè The poït ç ïtersection ç ê perpendicular bisecërs
èèè ç ê sides ç a triangle is equidistant form ê vertices
èèè å is ê circumcenter ç ê triangle.
éS
Defïition 7.7.1èINSCRIBED POLYGON:èA polygon is ïscribed ï a circle
if its vertices lie on ê circle.
Defïition 7.7.2èCIRCUMSCRIBED POLYGON:èA polygon is circumscribed
about a circle if ê sides are tangent ë ê circle.
Defïition 7.7.3èCONCURRENT:èTwo or more lïes are concurrent if êy
ïtersect ï a sïgle poït.
è The poït ç concurrency ç ê perpendicular bisecërs ç ê sides
ç a triangle is called ê circumcenter ç ê triangle.èThis poït is
equidistant from ê vertices, å is ê center ç ê circle circum-
scribed about ê triangle.
è The poït ç concurrency ç ê angle bisecërs ç a triangle isè
called ê ïcenter ç ê triangle.èThis poït is equidistant from ê
sides ç ê triangle, å is ê center ç ê circle ïscribed ï ê
triangle.
è The poït ç concurrency ç ê lïes contaïïg ê altitudes ç a
triangle is called ê orthocenter ç ê triangle.
è The poït ç concurrency ç ê lïes contaïïg ê medians ç a
triangle is called ê centroid ç ê triangle.
è At this poït you should go ë ê "construction feature" ç this
program å practice ê circle constructions.èConstructions 16, 17,
18, å 19 ïvolve constructions ç tangent lïes.èYou should also
practice constructions 20 through 24 which ïvolve fïdïg ê ïcenter,
circumcenter, orthocenter, å centroid.
1èèèèThe poït ç concurrency ç ê medians
èèèèèèèè ç a triangle is called ê ___________.èè
èèèèèèèèèA) Incenterèèèèèè B) Centroid
èèèèèèèèèC) OrthocenterèèèèèD) Circumcenter
ü
èèèèèèèèèèèèèèèèCentroid
Ç B
2è The poït ç concurrency ç ê perpendicular bisecërs
èèèèèèç ê sides ç a triangle is called ê ______________.èè
èèèèèèèèèA) Incenterèèèèèè B) Centroid
èèèèèèèèèC) OrthocenterèèèèèD) Circumcenter
ü
èèèèèèèèèèèèèèèCircumcenter
Ç D
3è The poït ç concurrency ç ê angle bisecërs ç
èèèèèèê angles ç a triangle is called ê __________.èè
èèèèèèèèè A) Incenterèèèèèè B) Centroid
èèèèèèèèè C) OrthocenterèèèèèD) Circumcenter
ü
èèèèèèèèèèèèèèèèIncenter
Ç A
4èèèèThe poït ç concurrency ç ê altitudes
èèèèèèèè ç a triangle is called ê ____________.èè
èèèèèèèèèèA) Incenterèèèèèè B) Centroid
èèèèèèèèèèC) OrthocenterèèèèèD) Circumcenter
ü
èèèèèèèèèèèèèèè Orthocenter
Ç C