"It has two pairs of opposite sides parallel." Which of the following make this open sentence true? (a) Parallelogram (b) Trapezoid (c) Rectangle (d) both 1 and 3
Hint: Mathematics includes the study of topics which are related to quantity, structure, space and change. To solve this problem, individually consider each figure and try to match it with the statement given in the problem. By using this methodology, we can solve this problem.
Complete step-by-step answer: Mathematics is related to all the phenomena occurring in the world. When mathematical structures are good models of real phenomena mathematical reasoning can be used to provide insight or predictions about nature. One of the most important branches of mathematics is geometry. It includes the analysis of figures using simple theorems and results. We are given that a geometrical figure has two pairs of opposite sides parallel. Considering the option (a), parallelogram has two pairs of opposite sides parallel. So, it satisfied our condition. Considering the option (b), trapezoid has only one pair of side parallel. So, it is false. Considering option (c), the rectangle also has two pairs of opposite sides parallel. So, it is true. Hence, we obtain the final answer as option (d) because it states both option (a) and (c) correct. Therefore, the correct answer is option (d).
Note: Students must be careful while observing the options. A silly mistake which most of the students commit is the marking of options just by seeing only one possible answer i.e., parallelogram or rectangle which is incorrect.