Question

MAT443: FOLDING LAB Objective Understand Similarity and Proportion FIGURE 1. Folds into Thirds (Iy Make a square from a regular sheet of paper (2) Careully perform the folds in Figure I on the square. Measure the width of the yellow region and compare it to the width of the whole. (3) What do you observe regarding the ratio of the measured lengthas? Compare your answers with classmates and form a conjecture The Gided portion is Y2 of the Square, it looks FIGURE 2. Similar triangles are colored Blue and Green (4) How are the blue and green triangles in Figure 2 related? Be specific and justify your answer (5) Use your answer from (4) to prove that the yellow region in Figure 1 is one third of the square (6) How would you generalize this to fold a paper into fifths? Thy this and attach the folded paper to your writeup. It may help some of you to attempt this construction in GSP first. Writeup Each student must turn in a writeup of his/her own work. Please write neatly or type up your responses for (3), (4), (5) and (6) 4.They are similar aue t rauys piseciho o one point ereatig correporais org eg Ho the alternate in erior angler and they hove to 37

Answer 1

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