Thales Essay, Research Paper

Thales Ship at Sea Activity & # 8211 ; Thales ship at sea is a math activity stating that you can happen the distance of something from where you are standing without really mensurating it. Thales & # 8220 ; Ship at Sea & # 8221 ; ActivityPurpose: The intent of the activity was to larn that the Corresponding Partsof Congruent Triangles are Congruent ( CPCTC ) , and how you can utilize it apathetic state of affairss. We familiarized ourselves with the corresponding parts ofcongruent trigons. We besides were supposed to happen the distance to an object without actuallymeasuring the distance to that object straight. Step one: Suzie Pipperno and I had to pick a concrete block about 40 feetaway from the pavement in dorsum of the school.Step two: We so tried to aline a cone with the cement block without gettingclose to it. Step three: We had to gait out a certain distance, 10 stairss, from the cone, topographic point a flag, the gait the same distance once more, in a uninterrupted section, andplace another cone. Step four: We walked at a right angle to the 2nd cone until we had the cementblock and the flag absolutely in line. Measure five: We took a twine and stretched it the distance from the 2nd coneto the topographic point we stopped walking. Measure six: We placed the twine against a tape step and found that theapproximate distance from the cement block to the first cone was 30 eightfeet-two inches. Step seven: We used the twine to mensurate the exact distance from the cementblock the first cone utilizing the tape step to mensurate the twine, which wasforty two feet-one inch. Step Eight: We used the twine to acquire an exact measuring from the first coneto the flag. Then used the twine to rectify the distance of the 2nd conefrom the flag.Step nine: We walked at a right angle from the 2nd cone until the flag andthe cement block are lined up once more. Measure ten: We used the twine and tape step to mensurate the distance of thepath we walked and came up with 40 one feet-two inches. Decision: We were able to reason, without straight measuri

ng the distance to

the cement block, that the distance to the block was about 40 onefeet-two inches. Relation: The manner this activity relates to our mathematical surveies is that itfamiliarizes us with the congruent parts of congruent trigons, and Teachs usthat you can utilize the congruity of trigons in existent life. How we proved the trigons congruent: If you look at the affiliated diagram youwill see that there are 2 sides with a | through them. That means that thosesides, or line sections, are congruous. You will besides notice two angles with s crossing their angle step. That means that that those two angles arecongruent. Besides you will see two sides with a || through them. That means thesame thing as the first brace of sections with the | through them, but itsignifies that those two line sections are congruous with each other and non theother two. These trigons are congruent by a posit SAS ( Side-Angle-Side ) .Which provinces that if two trigons have a Side an Angle and a Side Congruentthen both of the trigons are wholly congruous. Remarks on Activity: I think that the activity was worthwhile, because Ilearned how mistakes in measuring and sighting can do inaccuracies inmeasured distences, and the larger the distances you are working with, thelarger the mistakes. Idea to Better or Widen: My thought is to make the activity three times, and ineach have the block at a different distance. This would enable you to see howdistance effects truth. GlossaryAngle- an angle consists of two different beams that have the same initial point, the vertex.Congruent angles- two angles that portion the same measureCongruent segments- two sections that portion the same measureCPCTC- abbreviation for matching parts of congruent trigons are congruentPostulate-A statement accepted without cogent evidence as trueSAS Postulate-If two sides and the included angle of one trigon are congruentto two sides and the included angle of another trigon, so the two trianglesare congruentTriangle- A polygon with three sides