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Symmetry Concept in Parametric Curve Equations using<br />

Congruent Modulo<br />

Nurzuliana Binti Zulkifli<br />

Supervisor: Dr. Ruwaidiah Binti Idris<br />

Bachelor of Science (Computational Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Parametric equation are usually used to denote coordinate points that form a geometric<br />

objects such as curves or surfaces. Meanwhile, symmetry means the image of an object<br />

does not change their shape after any transformation such as reflection, rotation and<br />

translation. This research was conducted to study the use of symmetry concepts in<br />

parametric curve equations and polar coordinates. The parametric curve equation and<br />

polar coordinates are used to track the movement of the point that complete a circle with<br />

the intervals from 0 to 2π, which is aided with congruent modulo to obtain a symmetrical<br />

pattern in the results. From this research, it can be concluded that the symmetry curve<br />

can be obtained from the parametric curve equations and polar coordinates using<br />

congruent modulo.<br />

997 | UMT UNDERGRADUATE RESEARCH DAY 2018

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