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(:title Copy a Triangle - Directions :) (:div class=s9:) >>&<< [table border=1 cellpadding=3] [row] [ colspan=3]%c12 dkr b%Do the givens. [row] [c]Attach:GgbActivity./segment.jpg []%exa%Draw base of angle by clicking twice in drawing pad.%% []%ref%Point A%% %ref%Point B %red%[@a=Segment[A,B]@] [row] [c]Attach:GgbActivity./segment.jpg []%exa%Draw top of angle by clicking once on first point A and then above the base.%% []%ref%Point C%% %red%[@b=Segment[A,C]@] [row] [ colspan=3]%pra%'''Label:''' Use right-click to hide/show labels on endpoints and segment.%% [row] [c]Attach:GgbActivity./angle3pt.jpg []%exa%Draw angle marker by clicking on points B, A and C.%% []%black%[@Angle α=Angle[B, A, C]@]%% [row] [ colspan=3] >>&<<%up%'''Decorate:''' Right-click on angle, choose "Properties", basic tab: Show Label=Name, style tab: size=50.%% Click on Close. [row] [c]Attach:GgbActivity./line.jpg []%exa%Draw line segment by clicking twice in drawing pad.%% []%ref%Point D %ref%Point E %black%[@c=Line[D,E]@] [row] [ colspan=3]%pra%'''Label:''' Use right-click to rename D -> P and to hide point E.%% [row] [ colspan=3]%c12 dkr b%Copy the angle.%% [row] [c]Attach:GgbActivity./compass.jpg []Draw circle with radius the base of the angle and center P by clicking on points A, B and P. []%black%[@Circle d=Circle[P, Segment[A, B]@] [row] [c]Attach:GgbActivity./intersect.jpg []Draw point D by clicking on 2nd intersection point of circle and line. []%black%[@C=Intersect[c, b, 2]@]. [row] [c]Attach:GgbActivity./compass.jpg []Draw circle with radius the top of the angle and center P by clicking on points A, C and P. []%black%[@Circle e=Circle[P, Segment[A, C]@] [row] [c]Attach:GgbActivity./compass.jpg []Draw circle with radius the segment BC and center P by clicking on points B, C and E. []%black%[@Circle f=Circle[E, Segment[B, C]@] [row] [c]Attach:GgbActivity./intersect.jpg []Draw point F by clicking on top intersection point of circles e and f. []%black%[@F=Intersect[e, f, 1]@]. [row] [c]Attach:GgbActivity./line.jpg []%exa%Draw new angle base segment by clicking on points P and E.%% []%red%[@g=Segment[P,E]@] [row] [c]Attach:GgbActivity./line.jpg []%exa%Draw new angle top segment by clicking on points P and F.%% []%red%[@h=Segment[P,F]@] [row] [ colspan=3]>>&<<%up%'''Decorate:''' Right-click on any circle, choose "Properties", style tab: line style=dotted.%% In left pane of Properties window, select other circles and repeat: line style=dotted. In left pane of Properties window, select line c and change: line style=dashed. Click on Close. [row] [c]Attach:GgbActivity./angle3pt.jpg []%exa%Draw angle marker by clicking on points B, A and C.%% []%black%[@Angle β=Angle[E, P, F]@]%% [row] [ colspan=3] >>&<<%up%'''Decorate:''' Right-click on angle β, choose "Properties", basic tab: Show Label=Name, style tab: size=50.%% Click on Close. [row] [ colspan=3]%c12 dkr b%Check construction.%% [row] [c]Attach:GgbActivity./move.jpg []Click and drag endpoints of ends of angle to change its size. []Copied angle should match changes. [row] [ colspan = 3](:showhide init=hide div=div1 lshow="+" lhide="-":) See construction protocol (Command: View -> Construction Protocol) (:div1 id=div1 :) >>&<< -> Attach:ang_copy1_conpro.jpg >>&<< (:div1end :) >>-<< [row] [ colspan=3]%c12 dkr b%Save construction.%% Command: File -> Save. [tableend] (:divend:) >>&<< [table width=100% border=0] [row] [][[InterA/ConstructAngleCopy| Attach:main/tri_purple_up_a.gif ]] [[InterA/ConstructAngleCopy| Up one level]] [c] (:popclose Close Window:) [r](:html:) (:htmlend:) [tableend] %white%geometric, construct, construction, straightedge, compass, ruler, geogebra, application, geometry, program%% (:noleft:)(:noright:)(:noheader:)(:nofooter:)