Question

Question: Use Euclid's postulates to prove that your constructions for angle bisector and perpendicular bisector from Activities 2 and 3 are correct. Explain how the proofs of those constructions are linked.

References: Activity 2 & 3

2) Draw angle AOB in sketchpad using only the compass and straightedge tools. construct the ray OX, that bisects this angle.

3) Draw line segment RS in a sketchpad worksheet. Using only the compass and straightedge tools, construct the perpendicular bisector of RS and label the midpoint of RS as M.

Answer 1

Achivity is claim くAOX こ LBox construchon-Dao ResRendiculor Segmens x& x to Yapectiuey Such Fhat AROX & AQ Oメ In 282904 L 9) R×= Qメ :ConshuCtion Ox EOX Common side ( ASS est) AROX CTrestonding angle of congruent hiongle) く@0ス 280メ 0-A-A& 0-9-8) <80x or angle bisccx Construcrion OCT Hence is actiuiy Correct Srom

AcHiuiny Claim- LRMRI ConsAyu chion- DYaw N Segments Such Seg NS NRR ANMS In 三 Se9 NM Common side) (Conshucion) Seg NA Seg Rrs ニSeg NS nis mideoind of es ANMR EONns SsSes くNrms (C.a.Ct) Cinear fain) S180 くNM2+ 2NM2 +くNMR ニ 180° くNMR -900 ニduN7 Consasu CiOn oT gersRendiculax Coreck. is aciuiy bise ctoく from
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